diff --git "a/\320\2403212/zinchenko_408657/lab1/README.md" "b/\320\2403212/zinchenko_408657/lab1/README.md" deleted file mode 100644 index 5dd8dcc..0000000 --- "a/\320\2403212/zinchenko_408657/lab1/README.md" +++ /dev/null @@ -1 +0,0 @@ -Лабораторная работа 1 diff --git "a/\320\2403212/zinchenko_408657/lab1/code/README.md" "b/\320\2403212/zinchenko_408657/lab1/code/README.md" new file mode 100644 index 0000000..660f8bf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/README.md" @@ -0,0 +1 @@ +Для запуска прописать `npm run start` \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/input.txt" "b/\320\2403212/zinchenko_408657/lab1/code/input.txt" new file mode 100644 index 0000000..64887a0 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/input.txt" @@ -0,0 +1,5 @@ +3 +4 1 1 +2 5 2 +1 2 4 +6 12 10 \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/input2.txt" "b/\320\2403212/zinchenko_408657/lab1/code/input2.txt" new file mode 100644 index 0000000..c2ba34a --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/input2.txt" @@ -0,0 +1,5 @@ +3 +2 2 10 +10 1 1 +2 10 1 +14 12 13 \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/jest.config.js" "b/\320\2403212/zinchenko_408657/lab1/code/jest.config.js" new file mode 100644 index 0000000..2f3ecbe --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/jest.config.js" @@ -0,0 +1,7 @@ +/** @type {import('ts-jest').JestConfigWithTsJest} **/ +module.exports = { + testEnvironment: "node", + transform: { + "^.+\.tsx?$": ["ts-jest",{}], + }, +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/package-lock.json" "b/\320\2403212/zinchenko_408657/lab1/code/package-lock.json" new file mode 100644 index 0000000..8bfd25b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/package-lock.json" @@ -0,0 +1,4059 @@ +{ + "name": 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"a/\320\2403212/zinchenko_408657/lab1/code/package.json" "b/\320\2403212/zinchenko_408657/lab1/code/package.json" new file mode 100644 index 0000000..7da9e69 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/package.json" @@ -0,0 +1,21 @@ +{ + "name": "1", + "version": "1.0.0", + "main": "index.js", + "scripts": { + "start": "ts-node ./src/index.ts", + "test": "jest" + }, + "author": "", + "license": "ISC", + "description": "", + "dependencies": { + "ts-node": "^10.9.2", + "typescript": "^5.8.2" + }, + "devDependencies": { + "@types/jest": "^29.5.14", + "jest": "^29.7.0", + "ts-jest": "^29.2.6" + } +} diff --git "a/\320\2403212/zinchenko_408657/lab1/code/src/index.ts" "b/\320\2403212/zinchenko_408657/lab1/code/src/index.ts" new file mode 100644 index 0000000..d28d181 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/src/index.ts" @@ -0,0 +1,57 @@ +#!/usr/bin/env ts-node + +import { printMatrix, printVector, readInput } from './io'; +import { + isDiagonallyDominant, + findDiagonalDominantPermutation, + calculateIterationMatrixNorm, + iterateSimpleIterations +} from './math' + +async function main() { + let { A, b, epsilon } = await readInput(); + console.log("Исходная матрица A:"); + printMatrix(A); + console.log(); + + console.log("Вектор b:"); + printVector(b); + console.log(); + + if (!isDiagonallyDominant(A)) { + console.log("Матрица не обладает диагональным преобладанием. Попытаемся переставить строки для достижения диагонального преобладания..."); + const result = findDiagonalDominantPermutation(A, b); + if (!result) { + console.log("Не удалось достичь диагонального преобладания перестановками строк."); + return; + } + console.log("Успешно достигнуто диагональное преобладание после перестановки строк. Новая матрица A:"); + printMatrix(result.A); + console.log(); + + console.log("Новый вектор b:"); + printVector(result.b); + console.log(); + + A = result.A; + b = result.b; + } + console.log("Матрица обладает диагональным преобладанием."); + + const B_norm = calculateIterationMatrixNorm(A); + console.log(`Норма матрицы итераций: ${B_norm.toFixed(6)}`); + if (B_norm >= 1) { + console.warn("Норма матрицы итераций >= 1, метод может не сходиться."); + } + + const { x, iterations, errorVector } = iterateSimpleIterations(A, b, epsilon); + console.log("Вектор неизвестных (решение системы):"); + printVector(x); + console.log(); + + console.log(`Количество итераций: ${iterations}`); + console.log("Вектор погрешностей на каждой итерации:"); + console.table(errorVector); +} + +main(); \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/src/io.ts" "b/\320\2403212/zinchenko_408657/lab1/code/src/io.ts" new file mode 100644 index 0000000..75b5ef6 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/src/io.ts" @@ -0,0 +1,113 @@ +import { randomInt } from 'crypto'; +import * as fs from 'fs'; +import * as readline from 'readline'; + +function prompt(question: string): Promise { + const rl = readline.createInterface({ + input: process.stdin, + output: process.stdout + }); + return new Promise(resolve => rl.question(question, ans => { + rl.close(); + resolve(ans); + })); +} + +async function readInput(): Promise<{ A: number[][], b: number[], epsilon: number }> { + const choice = await prompt("Выберите способ ввода коэффициентов матрицы (1 - с клавиатуры, 2 - из файла, 3 - рандом): "); + let A: number[][] = []; + let b: number[] = []; + switch (choice.trim()) { + case "1": + await readKeyboard(); + break; + case "2": + await readFile(); + break; + case "3": + await randomMatrix(); + break; + default: + console.error("Неверный выбор ввода."); + process.exit(1); + break; + } + const epsilonStr = await prompt("Введите точность (epsilon): "); + const epsilon = parseFloat(epsilonStr.trim()); + return { A, b, epsilon }; + + async function randomMatrix() { + const nStr = await prompt("Введите размерность системы (n): "); + const n = parseInt(nStr.trim()); + for (let i = 0; i < n; i++) { + A.push([]); + for (let j = 0; j < n; j++) { + A[i].push(randomInt(100)); + } + } + for (let i = 0; i < n; i++) { + b.push(randomInt(100)); + } + } + + async function readFile() { + const filename = await prompt("Введите имя файла с данными: "); + try { + const data = fs.readFileSync(filename.trim(), 'utf8'); + const lines = data.trim().split('\n').map(line => line.trim()).filter(line => line.length > 0); + const n = parseInt(lines[0]); + for (let i = 1; i <= n; i++) { + const row = lines[i].split(/\s+/).map(Number); + if (row.length !== n) { + console.error(`Некорректное количество элементов в строке ${i}`); + process.exit(1); + } + A.push(row); + } + b = lines[n + 1].split(/\s+/).map(Number); + if (b.length !== n) { + console.error("Некорректное количество элементов в векторе b"); + process.exit(1); + } + } catch (err) { + console.error("Ошибка чтения файла:", err); + process.exit(1); + } + } + + async function readKeyboard() { + const nStr = await prompt("Введите размерность системы (n): "); + const n = parseInt(nStr.trim()); + console.log("Введите коэффициенты матрицы A (по строкам, разделяя пробелами):"); + for (let i = 0; i < n; i++) { + const rowStr = await prompt(`Строка ${i + 1}: `); + const row = rowStr.trim().split(/\s+/).map(Number); + if (row.length !== n) { + console.error("Некорректное количество элементов в строке"); + process.exit(1); + } + A.push(row); + } + console.log("Введите вектор свободных членов b:"); + const bStr = await prompt(`Введите ${n} чисел, разделённых пробелами: `); + b = bStr.trim().split(/\s+/).map(Number); + if (b.length !== n) { + console.error("Некорректное количество элементов в векторе b"); + process.exit(1); + } + } +} + +function printVector(v: number[], separator: string = '\t'): void { + console.log(v.map(num => num.toFixed(6)).join(separator)); +} + +function printMatrix(A: number[][], separator: string = ' '): void { + A.forEach(v => printVector(v, separator)); +} + +export { + readInput, + printVector, + printMatrix +} \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/src/math.test.ts" "b/\320\2403212/zinchenko_408657/lab1/code/src/math.test.ts" new file mode 100644 index 0000000..c4b0512 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/src/math.test.ts" @@ -0,0 +1,70 @@ +import { + isDiagonallyDominant, + findDiagonalDominantPermutation, + calculateIterationMatrixNorm, + iterateSimpleIterations +} from './math'; + +describe('Метод простых итераций - тесты', () => { + + test('Проверка диагонального преобладания: матрица с диагональным преобладанием', () => { + const A = [ + [5, 1, 1], + [1, 4, 1], + [1, 1, 3] + ]; + expect(isDiagonallyDominant(A)).toBe(true); + }); + + test('Проверка диагонального преобладания: матрица без диагонального преобладания', () => { + const A = [ + [1, 2, 3], + [4, 5, 6], + [7, 8, 9] + ]; + expect(isDiagonallyDominant(A)).toBe(false); + }); + + test('findDiagonalDominantPermutation: должна найти перестановку с диагональным преобладанием, если возможно', () => { + const A = [ + [1, 2], + [3, 1] + ]; + const b = [4, 5]; + const result = findDiagonalDominantPermutation(A, b); + expect(result).not.toBeNull(); + if (result !== null) { + expect(isDiagonallyDominant(result.A)).toBe(true); + } + }); + + test('calculateIterationMatrixNorm: вычисление нормы матрицы итераций', () => { + // Для матрицы A: + // A[0]: [10, 2] -> сумма для i=0: |2/10| = 0.2 + // A[1]: [3, 15] -> сумма для i=1: |3/15| = 0.2 + // Ожидаемая норма = 0.2 + const A = [ + [10, 2], + [3, 15] + ]; + const norm = calculateIterationMatrixNorm(A); + expect(norm).toBeCloseTo(0.2, 4); + }); + + test('iterateSimpleIterations: итерационный процесс сходится к ожидаемому решению', () => { + // Рассмотрим систему: + // 10x + 2y = 14 + // 3x +15y = 27 + // Ожидаемое решение: x = 13/12 ~ 1.08333, y = 19/12 ~ 1.58333 + const A = [ + [10, 2], + [3, 15] + ]; + const b = [14, 27]; + const epsilon = 1e-6; + const { x, iterations } = iterateSimpleIterations(A, b, epsilon, 1000); + expect(x[0]).toBeCloseTo(13 / 12, 4); + expect(x[1]).toBeCloseTo(19 / 12, 4); + expect(iterations).toBeGreaterThan(0); + }); +}); diff --git "a/\320\2403212/zinchenko_408657/lab1/code/src/math.ts" "b/\320\2403212/zinchenko_408657/lab1/code/src/math.ts" new file mode 100644 index 0000000..7b28c4b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/src/math.ts" @@ -0,0 +1,88 @@ +function rowAbsSum(row: number[]): number { + return row.reduce((prev, curr) => prev + Math.abs(curr), 0); +} + +function isDiagonallyDominant(A: number[][]): boolean { + const n = A.length; + for (let i = 0; i < n; i++) { + if (2*Math.abs(A[i][i]) < rowAbsSum(A[i])) { + return false; + } + } + return true; +} + +function findDiagonalDominantPermutation(A: number[][], b: number[]): { A: number[][], b: number[], perm: number[] } | null { + const n = A.length; + const used = Array(n).fill(false); + const perm: number[] = []; + let bestResult: { A: number[][], b: number[], perm: number[] } | null = null; + + function backtracking(level: number) { + if (level === n) { + const A_perm = perm.map(i => A[i]); + if (!isDiagonallyDominant(A_perm)) return; + const b_perm = perm.map(i => b[i]); + bestResult = { A: A_perm, b: b_perm, perm: [...perm] }; + return; + } + for (let i = 0; i < n; i++) { + if (!used[i]) { + used[i] = true; + perm.push(i); + backtracking(level + 1); + if (bestResult !== null) return; + perm.pop(); + used[i] = false; + } + } + } + backtracking(0); + return bestResult; +} + +function calculateIterationMatrixNorm(A: number[][]): number { + const n = A.length; + let norm = 0; + for (let i = 0; i < n; i++) { + let rowSum = A[i].reduce((prev, curr) => prev + Math.abs(curr/A[i][i]), 0) - 1; + norm = Math.max(rowSum, norm) + } + return norm; +} + +function iterateSimpleIterations(A: number[][], b: number[], epsilon: number, maxIterations: number = 1000): + { x: number[], iterations: number, errorVector: number[] } { + const n = A.length; + let x: number[] = new Array(n).fill(0); + let x_new: number[] = new Array(n).fill(0); + let errorVector: number[] = []; + + for (let iter = 1; iter <= maxIterations; iter++) { + for (let i = 0; i < n; i++) { + let sum = 0; + for (let j = 0; j < n; j++) { + if (j !== i) { + sum += A[i][j] * x[j]; + } + } + x_new[i] = (b[i] - sum) / A[i][i]; + } + + let error = x_new.reduce((prev, curr, index) => Math.max(prev, Math.abs(curr - x[index])), 0); + errorVector.push(error) + if (error < epsilon) { + return { x: x_new, iterations: iter, errorVector }; + } + x = [...x_new]; + } + console.warn("Достигнуто максимальное число итераций без сходимости"); + return { x: x_new, iterations: maxIterations, errorVector }; +} + +export { + isDiagonallyDominant, + findDiagonalDominantPermutation, + calculateIterationMatrixNorm, + iterateSimpleIterations, +} \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab1/code/tsconfig.json" "b/\320\2403212/zinchenko_408657/lab1/code/tsconfig.json" new file mode 100644 index 0000000..56a8ab8 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab1/code/tsconfig.json" @@ -0,0 +1,110 @@ +{ + "compilerOptions": { + /* Visit https://aka.ms/tsconfig to read more about this file */ + + /* Projects */ + // "incremental": true, /* Save .tsbuildinfo files to allow for incremental compilation of projects. */ + // "composite": true, /* Enable constraints that allow a TypeScript project to be used with project references. */ + // "tsBuildInfoFile": "./.tsbuildinfo", /* Specify the path to .tsbuildinfo incremental compilation file. */ + // "disableSourceOfProjectReferenceRedirect": true, /* Disable preferring source files instead of declaration files when referencing composite projects. */ + // "disableSolutionSearching": true, /* Opt a project out of multi-project reference checking when editing. */ + // "disableReferencedProjectLoad": true, /* Reduce the number of projects loaded automatically by TypeScript. */ + + /* Language and Environment */ + "target": "es2016", /* Set the JavaScript language version for emitted JavaScript and include compatible library declarations. */ + // "lib": [], /* Specify a set of bundled library declaration files that describe the target runtime environment. */ + // "jsx": "preserve", /* Specify what JSX code is generated. */ + // "experimentalDecorators": true, /* Enable experimental support for legacy experimental decorators. */ + // "emitDecoratorMetadata": true, /* Emit design-type metadata for decorated declarations in source files. */ + // "jsxFactory": "", /* Specify the JSX factory function used when targeting React JSX emit, e.g. 'React.createElement' or 'h'. */ + // "jsxFragmentFactory": "", /* Specify the JSX Fragment reference used for fragments when targeting React JSX emit e.g. 'React.Fragment' or 'Fragment'. */ + // "jsxImportSource": "", /* Specify module specifier used to import the JSX factory functions when using 'jsx: react-jsx*'. */ + // "reactNamespace": "", /* Specify the object invoked for 'createElement'. This only applies when targeting 'react' JSX emit. */ + // "noLib": true, /* Disable including any library files, including the default lib.d.ts. */ + // "useDefineForClassFields": true, /* Emit ECMAScript-standard-compliant class fields. */ + // "moduleDetection": "auto", /* Control what method is used to detect module-format JS files. */ + + /* Modules */ + "module": "commonjs", /* Specify what module code is generated. */ + // "rootDir": "./", /* Specify the root folder within your source files. */ + // "moduleResolution": "node10", /* Specify how TypeScript looks up a file from a given module specifier. */ + // "baseUrl": "./", /* Specify the base directory to resolve non-relative module names. */ + // "paths": {}, /* Specify a set of entries that re-map imports to additional lookup locations. */ + // "rootDirs": [], /* Allow multiple folders to be treated as one when resolving modules. */ + // "typeRoots": [], /* Specify multiple folders that act like './node_modules/@types'. */ + // "types": [], /* Specify type package names to be included without being referenced in a source file. */ + // "allowUmdGlobalAccess": true, /* Allow accessing UMD globals from modules. */ + // "moduleSuffixes": [], /* List of file name suffixes to search when resolving a module. */ + // "allowImportingTsExtensions": true, /* Allow imports to include TypeScript file extensions. Requires '--moduleResolution bundler' and either '--noEmit' or '--emitDeclarationOnly' to be set. */ + // "resolvePackageJsonExports": true, /* Use the package.json 'exports' field when resolving package imports. */ + // "resolvePackageJsonImports": true, /* Use the package.json 'imports' field when resolving imports. */ + // "customConditions": [], /* Conditions to set in addition to the resolver-specific defaults when resolving imports. */ + // "noUncheckedSideEffectImports": true, /* Check side effect imports. */ + // "resolveJsonModule": true, /* Enable importing .json files. */ + // "allowArbitraryExtensions": true, /* Enable importing files with any extension, provided a declaration file is present. */ + // "noResolve": true, /* Disallow 'import's, 'require's or ''s from expanding the number of files TypeScript should add to a project. */ + + /* JavaScript Support */ + // "allowJs": true, /* Allow JavaScript files to be a part of your program. Use the 'checkJS' option to get errors from these files. */ + // "checkJs": true, /* Enable error reporting in type-checked JavaScript files. */ + // "maxNodeModuleJsDepth": 1, /* Specify the maximum folder depth used for checking JavaScript files from 'node_modules'. Only applicable with 'allowJs'. */ + + /* Emit */ + // "declaration": true, /* Generate .d.ts files from TypeScript and JavaScript files in your project. */ + // "declarationMap": true, /* Create sourcemaps for d.ts files. */ + // "emitDeclarationOnly": true, /* Only output d.ts files and not JavaScript files. */ + // "sourceMap": true, /* Create source map files for emitted JavaScript files. */ + // "inlineSourceMap": true, /* Include sourcemap files inside the emitted JavaScript. */ + // "noEmit": true, /* Disable emitting files from a compilation. */ + // "outFile": "./", /* Specify a file that bundles all outputs into one JavaScript file. If 'declaration' is true, also designates a file that bundles all .d.ts output. */ + // "outDir": "./", /* Specify an output folder for all emitted files. */ + // "removeComments": true, /* Disable emitting comments. */ + // "importHelpers": true, /* Allow importing helper functions from tslib once per project, instead of including them per-file. */ + // "downlevelIteration": true, /* Emit more compliant, but verbose and less performant JavaScript for iteration. */ + // "sourceRoot": "", /* Specify the root path for debuggers to find the reference source code. */ + // "mapRoot": "", /* Specify the location where debugger should locate map files instead of generated locations. */ + // "inlineSources": true, /* Include source code in the sourcemaps inside the emitted JavaScript. */ + // "emitBOM": true, /* Emit a UTF-8 Byte Order Mark (BOM) in the beginning of output files. */ + // "newLine": "crlf", /* Set the newline character for emitting files. */ + // "stripInternal": true, /* Disable emitting declarations that have '@internal' in their JSDoc comments. */ + // "noEmitHelpers": true, /* Disable generating custom helper functions like '__extends' in compiled output. */ + // "noEmitOnError": true, /* Disable emitting files if any type checking errors are reported. */ + // "preserveConstEnums": true, /* Disable erasing 'const enum' declarations in generated code. */ + // "declarationDir": "./", /* Specify the output directory for generated declaration files. */ + + /* Interop Constraints */ + // "isolatedModules": true, /* Ensure that each file can be safely transpiled without relying on other imports. */ + // "verbatimModuleSyntax": true, /* Do not transform or elide any imports or exports not marked as type-only, ensuring they are written in the output file's format based on the 'module' setting. */ + // "isolatedDeclarations": true, /* Require sufficient annotation on exports so other tools can trivially generate declaration files. */ + // "allowSyntheticDefaultImports": true, /* Allow 'import x from y' when a module doesn't have a default export. */ + "esModuleInterop": true, /* Emit additional JavaScript to ease support for importing CommonJS modules. This enables 'allowSyntheticDefaultImports' for type compatibility. */ + // "preserveSymlinks": true, /* Disable resolving symlinks to their realpath. This correlates to the same flag in node. */ + "forceConsistentCasingInFileNames": true, /* Ensure that casing is correct in imports. */ + + /* Type Checking */ + "strict": true, /* Enable all strict type-checking options. */ + // "noImplicitAny": true, /* Enable error reporting for expressions and declarations with an implied 'any' type. */ + // "strictNullChecks": true, /* When type checking, take into account 'null' and 'undefined'. */ + // "strictFunctionTypes": true, /* When assigning functions, check to ensure parameters and the return values are subtype-compatible. */ + // "strictBindCallApply": true, /* Check that the arguments for 'bind', 'call', and 'apply' methods match the original function. */ + // "strictPropertyInitialization": true, /* Check for class properties that are declared but not set in the constructor. */ + // "strictBuiltinIteratorReturn": true, /* Built-in iterators are instantiated with a 'TReturn' type of 'undefined' instead of 'any'. */ + // "noImplicitThis": true, /* Enable error reporting when 'this' is given the type 'any'. */ + // "useUnknownInCatchVariables": true, /* Default catch clause variables as 'unknown' instead of 'any'. */ + // "alwaysStrict": true, /* Ensure 'use strict' is always emitted. */ + // "noUnusedLocals": true, /* Enable error reporting when local variables aren't read. */ + // "noUnusedParameters": true, /* Raise an error when a function parameter isn't read. */ + // "exactOptionalPropertyTypes": true, /* Interpret optional property types as written, rather than adding 'undefined'. */ + // "noImplicitReturns": true, /* Enable error reporting for codepaths that do not explicitly return in a function. */ + // "noFallthroughCasesInSwitch": true, /* Enable error reporting for fallthrough cases in switch statements. */ + // "noUncheckedIndexedAccess": true, /* Add 'undefined' to a type when accessed using an index. */ + // "noImplicitOverride": true, /* Ensure overriding members in derived classes are marked with an override modifier. */ + // "noPropertyAccessFromIndexSignature": true, /* Enforces using indexed accessors for keys declared using an indexed type. */ + // "allowUnusedLabels": true, /* Disable error reporting for unused labels. */ + // "allowUnreachableCode": true, /* Disable error reporting for unreachable code. */ + + /* Completeness */ + // "skipDefaultLibCheck": true, /* Skip type checking .d.ts files that are included with TypeScript. */ + "skipLibCheck": true /* Skip type checking all .d.ts files. */ + } +} diff --git "a/\320\2403212/zinchenko_408657/lab1/report.pdf" "b/\320\2403212/zinchenko_408657/lab1/report.pdf" new file mode 100644 index 0000000..2b60efb Binary files /dev/null and "b/\320\2403212/zinchenko_408657/lab1/report.pdf" differ diff --git "a/\320\2403212/zinchenko_408657/lab2/README.md" "b/\320\2403212/zinchenko_408657/lab2/README.md" deleted file mode 100644 index 2999024..0000000 --- "a/\320\2403212/zinchenko_408657/lab2/README.md" +++ /dev/null @@ -1 +0,0 @@ -Лабораторная работа 2 diff --git "a/\320\2403212/zinchenko_408657/lab2/code/.gitignore" "b/\320\2403212/zinchenko_408657/lab2/code/.gitignore" new file mode 100644 index 0000000..bd9920e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/.gitignore" @@ -0,0 +1,4 @@ +node_modules +.vscode +*.html +.idea \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab2/code/README.md" "b/\320\2403212/zinchenko_408657/lab2/code/README.md" new file mode 100644 index 0000000..324f10e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/README.md" @@ -0,0 +1 @@ +Для запуска программы используйте `npm run run` \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab2/code/jest.config.js" "b/\320\2403212/zinchenko_408657/lab2/code/jest.config.js" new file mode 100644 index 0000000..f7475c3 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/jest.config.js" @@ -0,0 +1,4 @@ +module.exports = { + preset: "ts-jest", + testEnvironment: "node", +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab2/code/package-lock.json" "b/\320\2403212/zinchenko_408657/lab2/code/package-lock.json" new file mode 100644 index 0000000..29adf33 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/package-lock.json" @@ -0,0 +1,4457 @@ +{ + "name": "2", + "version": "1.0.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "2", + "version": "1.0.0", + "license": "ISC", + "dependencies": { + "chartjs-node-canvas": "^5.0.0", + "readline-sync": "^1.4.10", + "yargs": "^17.7.2" + }, + "devDependencies": { + "@types/jest": "^29.5.14", + "@types/node": "^22.14.1", + "@types/readline-sync": "^1.4.8", + "jest": "^29.7.0", + "ts-jest": "^29.3.2", + "ts-node": "^10.9.2", + "typescript": "^5.8.3" + } + }, + "node_modules/@ampproject/remapping": { + "version": "2.3.0", + "resolved": "https://registry.npmjs.org/@ampproject/remapping/-/remapping-2.3.0.tgz", + "integrity": 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100644 index 0000000..0324ba2 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/cli.ts" @@ -0,0 +1,19 @@ +import * as readline from 'readline'; + +async function question(query: string, defaultValue?: string): Promise { + const rl = readline.createInterface({ + input: process.stdin, + output: process.stdout + }); + return new Promise(resolve => { + rl.question(query, ans => { + rl.close(); + const trimmed = ans.trim(); + resolve(trimmed === '' ? defaultValue ?? '' : trimmed); + }); + }); +} + +export { + question +} \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab2/code/src/functions.ts" "b/\320\2403212/zinchenko_408657/lab2/code/src/functions.ts" new file mode 100644 index 0000000..3c20f90 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/functions.ts" @@ -0,0 +1,63 @@ +type Func = (x: number) => number; +type Derivative = (x: number) => number; + +interface Equation { + name: string; + f: Func; + df: Derivative; +} + +const equations: Equation[] = [ + { + name: 'f1(x) = -1.8*x^3 - 2.94*x^2 + 10.37*x + 5.38', + f: x => -1.8 * x ** 3 - 2.94 * x ** 2 + 10.37 * x + 5.38, + df: x => -5.4 * x ** 2 - 5.88 * x + 10.37, + }, + { + name: 'f2(x) = x^3 - 3.125*x^2 - 3.5*x + 2.458', + f: x => x ** 3 - 3.125 * x ** 2 - 3.5 * x + 2.458, + df: x => 3 * x ** 2 - 6.25 * x - 3.5, + }, + { + name: 'f3(x) = ln(x)^3 + e^x - π', + f: x => Math.log(x) ** 3 + Math.exp(x) - Math.PI, + df: x => 3 * Math.log(x) ** 2 / x + Math.exp(x), + }, +]; + +interface System { + name: string; + phi1: (x: number, y: number) => number; + phi2: (x: number, y: number) => number; + f1: (x: number, y: number) => number, + f2: (x: number, y: number) => number; + graphDomain: { xMin: number; xMax: number }; +} + +const systems: System[] = [ + { + name: 'Система 1: x^2+2y^2=1 и sin(x+y)=1.5x-0.1', + phi1: (x, y) => x + 0.2*(1 - (x*x + 2*y*y)), + phi2: (x, y) => y + 0.2*(1.5*x - 0.1 - Math.sin(x + y)), + f1: (x, y) => x*x + 2*y*y - 1, + f2: (x, y) => Math.sin(x+y) - 1.5*x + 0.1, + graphDomain: { xMin: -Math.sqrt(2), xMax: Math.sqrt(2) }, + }, + { + name: 'Система 2: sin(y+2)-x=1.5 и y+cos(x-2)=0.5', + phi1: (_x, y) => Math.sin(y + 2) - 1.5, + phi2: (x, _y) => 0.5 - Math.cos(x - 2), + f1: (x, y) => Math.sin(y+2) - x - 1.5, + f2: (x, y) => y + Math.cos(x-2) - 0.5, + graphDomain: { xMin: -2.5, xMax: 2.5 }, + }, +]; + +export { + Func, + Derivative, + Equation, + System, + equations, + systems +} \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab2/code/src/graphs.ts" "b/\320\2403212/zinchenko_408657/lab2/code/src/graphs.ts" new file mode 100644 index 0000000..1be8d3b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/graphs.ts" @@ -0,0 +1,174 @@ +import { Func, System } from "./functions"; +import * as fs from 'fs'; +import { RootResult, SystemResult } from "./methods"; + +// ==================== Graph Generation ==================== +function generateEquationGraph( + f: Func, + a: number, + b: number, + outputPath: string, + title: string, + root: RootResult +) { + const N = 200; + const pts: Array<{ x: number; y: number }> = []; + for (let i = 0; i <= N; i++) { + const x = a + ((b - a) * i) / N; + pts.push({ x, y: f(x) }); + } + + const rootPoint = { x: root.root, y: root.fAtRoot }; + + const html = ` + + + + + ${title} + + + + + + +`; + + fs.writeFileSync(outputPath, html); +} + +function generateSystemGraph( + sys: System, + outputPath: string, + root: SystemResult +): void { + const xMin = root.x - 2; + const xMax = root.x + 2; + const yMin = root.y - 2; + const yMax = root.y + 2; + const N = 200; + const data1: Array<{ x: number; y: number }> = []; + const data2: Array<{ x: number; y: number }> = []; + + function hasSignChange(vals: number[]): boolean { + const s0 = Math.sign(vals[0]); + return vals.slice(1).some(v => Math.sign(v) !== s0); + } + + for (let i = 0; i < N; i++) { + for (let j = 0; j < N; j++) { + const x1 = xMin + ((xMax - xMin) * i) / N; + const y1 = yMin + ((yMax - yMin) * j) / N; + const x2 = xMin + ((xMax - xMin) * (i + 1)) / N; + const y2 = yMin + ((yMax - yMin) * (j + 1)) / N; + + try { + const v1 = [ + sys.f1(x1, y1), + sys.f1(x2, y1), + sys.f1(x1, y2), + sys.f1(x2, y2) + ]; + if (hasSignChange(v1)) { + data1.push({ x: (x1 + x2) / 2, y: (y1 + y2) / 2 }); + } + } catch { } + + try { + const v2 = [ + sys.f2(x1, y1), + sys.f2(x2, y1), + sys.f2(x1, y2), + sys.f2(x2, y2) + ]; + if (hasSignChange(v2)) { + data2.push({ x: (x1 + x2) / 2, y: (y1 + y2) / 2 }); + } + } catch { } + } + } + + const rootPoint = { x: root.x, y: root.y }; + + const html = ` + + + + ${sys.name} + + + + + + +`; + + fs.writeFileSync(outputPath, html); +} + +export { + generateEquationGraph, + generateSystemGraph +}; diff --git "a/\320\2403212/zinchenko_408657/lab2/code/src/index.ts" "b/\320\2403212/zinchenko_408657/lab2/code/src/index.ts" new file mode 100644 index 0000000..cdb287b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/index.ts" @@ -0,0 +1,141 @@ +import * as path from 'path'; +import { Equation, equations, systems } from './functions'; +import { + chord, + newton, + RootResult, + simpleIteration, + simpleIterationSystem +} from './methods'; +import { question } from './cli'; +import { generateEquationGraph, generateSystemGraph } from './graphs'; + +enum MainOption { + Equation = '1', + System = '2' +} + +enum EquationMethod { + Chord = '1', + Newton = '2', + SimpleIteration = '3' +} + +async function selectMainOption(): Promise { + console.log('=== Решение нелинейных задач ==='); + console.log('1) Решение уравнения'); + console.log('2) Решение системы уравнений'); + const choice = await question('Выберите опцию (1 или 2): '); + + if ([MainOption.Equation, MainOption.System].includes(choice as MainOption)) { + return choice as MainOption; + } + + console.error('Неверный выбор. Пожалуйста, введите 1 или 2.'); + process.exit(1); +} + +async function selectEquation(): Promise { + equations.forEach((eq, i) => console.log(`${i + 1}) ${eq.name}`)); + const idx = parseInt(await question('Выберите номер уравнения: '), 10); + const eq = equations[idx - 1]; + + if (!eq) { + console.error('Неверный номер уравнения'); + process.exit(1); + } + + return eq; +} + +const methods = { + [EquationMethod.Chord]: chord, + [EquationMethod.Newton]: newton, + [EquationMethod.SimpleIteration]: simpleIteration +} + +async function solveEquationFlow(): Promise { + const eq = await selectEquation(); + const a = parseFloat(await question('Введите левую границу a: ', '-5')); + const b = parseFloat(await question('Введите правую границу b: ', '5')); + const eps = parseFloat( + await question('Введите точность ε (например, 1e-5): ', '1e-5') + ); + + if (eq.f(a) * eq.f(b) > 0) { + console.error('На отрезке нет корня'); + return; + } + + console.log('Методы:\n1) Хорды\n2) Ньютона\n3) Итерации'); + const methodChoice = await question('Выберите метод (1, 2 или 3): '); + const method = methods[methodChoice as EquationMethod]; + if (!method) { + console.error('Неверный метод'); + return; + } + const result: RootResult = method(eq.f, eq.df, a, b, eps); + + console.log(`Корень: ${result.root}`); + console.log(`f(x): ${result.fAtRoot}`); + console.log(`Итераций: ${result.iterations}`); + + const outputFile = path.resolve(process.cwd(), 'equation_graph.html'); + generateEquationGraph(eq.f, a, b, outputFile, eq.name, result); + console.log(`График сохранён: ${outputFile}`); +} + +async function selectSystem(): Promise { + systems.forEach((sys, i) => console.log(`${i + 1}) ${sys.name}`)); + const idx = parseInt(await question('Выберите номер системы: '), 10); + const sys = systems[idx - 1]; + + if (!sys) { + console.error('Неверный номер системы'); + process.exit(1); + } + + return sys; +} + +async function solveSystemFlow(): Promise { + const sys = await selectSystem(); + const x0 = parseFloat( + await question('Введите начальное приближение x0: ', '0') + ); + const y0 = parseFloat( + await question('Введите начальное приближение y0: ', '0') + ); + const eps = parseFloat( + await question('Введите точность ε (например, 1e-5): ', '1e-5') + ); + + const result = simpleIterationSystem(sys, x0, y0, eps); + console.log(`Решение: x=${result.x}, y=${result.y}`); + console.log(`Итераций: ${result.iterations}`); + + console.log('Погрешности:'); + result.errors.forEach((err, i) => { + console.log(` k=${i + 1}: dx=${err.dx}, dy=${err.dy}`); + }); + + const outputFile = path.resolve(process.cwd(), 'system_graph.html'); + generateSystemGraph(sys, outputFile, result); + console.log(`График сохранён: ${outputFile}`); +} + +const mainOptions = { + [MainOption.Equation]: solveEquationFlow, + [MainOption.System]: solveSystemFlow +} + +async function main(): Promise { + try { + const method = mainOptions[await selectMainOption()]; + await method(); + } catch (error) { + console.error('Произошла ошибка:', error); + } +} + +main(); diff --git "a/\320\2403212/zinchenko_408657/lab2/code/src/methods.ts" "b/\320\2403212/zinchenko_408657/lab2/code/src/methods.ts" new file mode 100644 index 0000000..efefd6c --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/methods.ts" @@ -0,0 +1,83 @@ +import { Derivative, Func, System } from "./functions"; + +interface RootResult { root: number; fAtRoot: number; iterations: number; } +interface SystemResult { x: number; y: number; iterations: number; errors: Array<{ dx: number; dy: number }>; } +type EquationMethodCalc = (f: Func, df: Derivative, a: number, b: number, eps: number, maxIter?: number) => RootResult; + +const chord: EquationMethodCalc = (f, df, a, b, eps, maxIter = 1000): RootResult => { + let fa = f(a), fb = f(b), x = a, iter = 0; + while (iter < maxIter) { + x = (a * fb - b * fa) / (fb - fa); + const fx = f(x); + if (Math.abs(fx) < eps) break; + if (fa * fx < 0) { b = x; fb = fx; } + else { a = x; fa = fx; } + iter++; + } + return { root: x, fAtRoot: f(x), iterations: iter }; +} + +const newton: EquationMethodCalc = (f, df, a, b, eps, maxIter = 1000): RootResult => { + const h = Math.sqrt(eps); + const f2 = (x: number): number => (df(x + h) - df(x - h)) / (2 * h); + + const f2a = f2(a); + let x = (f(a) * f2a > 0) ? a : b; + + let iter = 0; + while (iter < maxIter) { + const fx = f(x), dfx = df(x); + const x1 = x - fx / dfx; + if (Math.abs(x1 - x) < eps) { x = x1; break; } + x = x1; + iter++; + } + return { root: x, fAtRoot: f(x), iterations: iter }; +} + +const simpleIteration: EquationMethodCalc = (f, df, a, b, eps, maxIter = 1000) => { + const N = 100; let M = 0; + for (let i = 0; i <= N; i++) { + const xi = a + ((b - a) * i) / N; + M = Math.max(M, Math.abs(df(xi))); + } + const lambda = -1 / M; + let q = 0; + for (let i = 0; i <= N; i++) { + const xi = a + ((b - a) * i) / N; + q = Math.max(q, Math.abs(1 + lambda * df(xi))); + } + if (q >= 1) console.warn('Условие сходимости (q < 1) не выполнено'); + let x = (a + b) / 2, iter = 0; + while (iter < maxIter) { + const x1 = x + lambda * f(x); + if (Math.abs(x1 - x) < eps) { x = x1; break; } + x = x1; iter++; + } + return { root: x, fAtRoot: f(x), iterations: iter }; +} + +function simpleIterationSystem(sys: System, x0: number, y0: number, eps: number, maxIter = 1000): SystemResult { + let x = x0, y = y0, iter = 0; + const errors: Array<{ dx: number; dy: number }> = []; + while (iter < maxIter) { + const x1 = sys.phi1(x, y), y1 = sys.phi2(x, y); + const dx = Math.abs(x1 - x), dy = Math.abs(y1 - y); + if ([x1, y1].some(v => isNaN(v))) { + console.error('Ошибка при расчёте. Получилось NaN'); + process.exit(0); + } + errors.push({ dx, dy }); x = x1; y = y1; iter++; + if (dx < eps && dy < eps) break; + } + return { x, y, iterations: iter, errors }; +} + +export { + RootResult, + SystemResult, + chord, + newton, + simpleIteration, + simpleIterationSystem +} diff --git "a/\320\2403212/zinchenko_408657/lab2/code/src/tests/methods.test.js" "b/\320\2403212/zinchenko_408657/lab2/code/src/tests/methods.test.js" new file mode 100644 index 0000000..c6c731e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/tests/methods.test.js" @@ -0,0 +1,47 @@ +"use strict"; +Object.defineProperty(exports, "__esModule", { value: true }); +const methods_1 = require("../methods"); +describe('Equation Solvers', () => { + const f = x => x * x - 2; + const df = x => 2 * x; + const a = 1; + const b = 2; + const eps = 1e-6; + const expectedRoot = Math.SQRT2; + it('chord method finds root approximately', () => { + const result = (0, methods_1.chord)(f, df, a, b, eps); + expect(result.root).toBeCloseTo(expectedRoot, 5); + expect(Math.abs(result.fAtRoot)).toBeLessThan(eps); + }); + it('newton method finds root approximately', () => { + const result = (0, methods_1.newton)(f, df, a, b, eps); + expect(result.root).toBeCloseTo(expectedRoot, 5); + expect(Math.abs(result.fAtRoot)).toBeLessThan(eps); + }); + it('simple iteration method finds root approximately', () => { + const result = (0, methods_1.simpleIteration)(f, df, a, b, eps); + expect(result.root).toBeCloseTo(expectedRoot, 5); + expect(Math.abs(result.fAtRoot)).toBeLessThan(eps * 10); + }); +}); +describe('System Solver', () => { + const sys = { + name: 'simple', + phi1: (x, y) => x / 2, + phi2: (x, y) => y / 2, + f1: (x, y) => x - x / 2, + f2: (x, y) => y - y / 2, + graphDomain: { xMin: -1, xMax: 1 } + }; + const x0 = 1; + const y0 = -1; + const epsSys = 1e-6; + it('simpleIterationSystem converges to fixed point (0,0)', () => { + const result = (0, methods_1.simpleIterationSystem)(sys, x0, y0, epsSys); + expect(result.x).toBeCloseTo(0, 5); + expect(result.y).toBeCloseTo(0, 5); + const lastError = result.errors[result.errors.length - 1]; + expect(lastError.dx).toBeLessThan(epsSys); + expect(lastError.dy).toBeLessThan(epsSys); + }); +}); diff --git "a/\320\2403212/zinchenko_408657/lab2/code/src/tests/methods.test.ts" "b/\320\2403212/zinchenko_408657/lab2/code/src/tests/methods.test.ts" new file mode 100644 index 0000000..44708f6 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/src/tests/methods.test.ts" @@ -0,0 +1,52 @@ +import { chord, newton, simpleIteration, simpleIterationSystem, RootResult, SystemResult } from '../methods'; +import { Func, Derivative, System } from '../functions'; + +describe('Equation Solvers', () => { + const f: Func = x => x * x - 2; + const df: Derivative = x => 2 * x; + const a = 1; + const b = 2; + const eps = 1e-6; + const expectedRoot = Math.SQRT2; + + it('chord method finds root approximately', () => { + const result: RootResult = chord(f, df, a, b, eps); + expect(result.root).toBeCloseTo(expectedRoot, 5); + expect(Math.abs(result.fAtRoot)).toBeLessThan(eps); + }); + + it('newton method finds root approximately', () => { + const result: RootResult = newton(f, df, a, b, eps); + expect(result.root).toBeCloseTo(expectedRoot, 5); + expect(Math.abs(result.fAtRoot)).toBeLessThan(eps); + }); + + it('simple iteration method finds root approximately', () => { + const result: RootResult = simpleIteration(f, df, a, b, eps); + expect(result.root).toBeCloseTo(expectedRoot, 5); + expect(Math.abs(result.fAtRoot)).toBeLessThan(eps*10); + }); +}); + +describe('System Solver', () => { + const sys: System = { + name: 'simple', + phi1: (x, y) => x / 2, + phi2: (x, y) => y / 2, + f1: (x, y) => x - x / 2, + f2: (x, y) => y - y / 2, + graphDomain: { xMin: -1, xMax: 1 } + }; + const x0 = 1; + const y0 = -1; + const epsSys = 1e-6; + + it('simpleIterationSystem converges to fixed point (0,0)', () => { + const result: SystemResult = simpleIterationSystem(sys, x0, y0, epsSys); + expect(result.x).toBeCloseTo(0, 5); + expect(result.y).toBeCloseTo(0, 5); + const lastError = result.errors[result.errors.length - 1]; + expect(lastError.dx).toBeLessThan(epsSys); + expect(lastError.dy).toBeLessThan(epsSys); + }); +}); diff --git "a/\320\2403212/zinchenko_408657/lab2/code/tsconfig.json" "b/\320\2403212/zinchenko_408657/lab2/code/tsconfig.json" new file mode 100644 index 0000000..56a8ab8 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab2/code/tsconfig.json" @@ -0,0 +1,110 @@ +{ + "compilerOptions": { + /* Visit https://aka.ms/tsconfig to read more about this file */ + + /* Projects */ + // "incremental": true, /* Save .tsbuildinfo files to allow for incremental compilation of projects. */ + // "composite": true, /* Enable constraints that allow a TypeScript project to be used with project references. */ + // "tsBuildInfoFile": "./.tsbuildinfo", /* Specify the path to .tsbuildinfo incremental compilation file. */ + // "disableSourceOfProjectReferenceRedirect": true, /* Disable preferring source files instead of declaration files when referencing composite projects. */ + // "disableSolutionSearching": true, /* Opt a project out of multi-project reference checking when editing. */ + // "disableReferencedProjectLoad": true, /* Reduce the number of projects loaded automatically by TypeScript. */ + + /* Language and Environment */ + "target": "es2016", /* Set the JavaScript language version for emitted JavaScript and include compatible library declarations. */ + // "lib": [], /* Specify a set of bundled library declaration files that describe the target runtime environment. */ + // "jsx": "preserve", /* Specify what JSX code is generated. */ + // "experimentalDecorators": true, /* Enable experimental support for legacy experimental decorators. */ + // "emitDecoratorMetadata": true, /* Emit design-type metadata for decorated declarations in source files. */ + // "jsxFactory": "", /* Specify the JSX factory function used when targeting React JSX emit, e.g. 'React.createElement' or 'h'. */ + // "jsxFragmentFactory": "", /* Specify the JSX Fragment reference used for fragments when targeting React JSX emit e.g. 'React.Fragment' or 'Fragment'. */ + // "jsxImportSource": "", /* Specify module specifier used to import the JSX factory functions when using 'jsx: react-jsx*'. */ + // "reactNamespace": "", /* Specify the object invoked for 'createElement'. This only applies when targeting 'react' JSX emit. */ + // "noLib": true, /* Disable including any library files, including the default lib.d.ts. */ + // "useDefineForClassFields": true, /* Emit ECMAScript-standard-compliant class fields. */ + // "moduleDetection": "auto", /* Control what method is used to detect module-format JS files. */ + + /* Modules */ + "module": "commonjs", /* Specify what module code is generated. */ + // "rootDir": "./", /* Specify the root folder within your source files. */ + // "moduleResolution": "node10", /* Specify how TypeScript looks up a file from a given module specifier. */ + // "baseUrl": "./", /* Specify the base directory to resolve non-relative module names. */ + // "paths": {}, /* Specify a set of entries that re-map imports to additional lookup locations. */ + // "rootDirs": [], /* Allow multiple folders to be treated as one when resolving modules. */ + // "typeRoots": [], /* Specify multiple folders that act like './node_modules/@types'. */ + // "types": [], /* Specify type package names to be included without being referenced in a source file. */ + // "allowUmdGlobalAccess": true, /* Allow accessing UMD globals from modules. */ + // "moduleSuffixes": [], /* List of file name suffixes to search when resolving a module. */ + // "allowImportingTsExtensions": true, /* Allow imports to include TypeScript file extensions. Requires '--moduleResolution bundler' and either '--noEmit' or '--emitDeclarationOnly' to be set. */ + // "resolvePackageJsonExports": true, /* Use the package.json 'exports' field when resolving package imports. */ + // "resolvePackageJsonImports": true, /* Use the package.json 'imports' field when resolving imports. */ + // "customConditions": [], /* Conditions to set in addition to the resolver-specific defaults when resolving imports. */ + // "noUncheckedSideEffectImports": true, /* Check side effect imports. */ + // "resolveJsonModule": true, /* Enable importing .json files. */ + // "allowArbitraryExtensions": true, /* Enable importing files with any extension, provided a declaration file is present. */ + // "noResolve": true, /* Disallow 'import's, 'require's or ''s from expanding the number of files TypeScript should add to a project. */ + + /* JavaScript Support */ + // "allowJs": true, /* Allow JavaScript files to be a part of your program. Use the 'checkJS' option to get errors from these files. */ + // "checkJs": true, /* Enable error reporting in type-checked JavaScript files. */ + // "maxNodeModuleJsDepth": 1, /* Specify the maximum folder depth used for checking JavaScript files from 'node_modules'. Only applicable with 'allowJs'. */ + + /* Emit */ + // "declaration": true, /* Generate .d.ts files from TypeScript and JavaScript files in your project. */ + // "declarationMap": true, /* Create sourcemaps for d.ts files. */ + // "emitDeclarationOnly": true, /* Only output d.ts files and not JavaScript files. */ + // "sourceMap": true, /* Create source map files for emitted JavaScript files. */ + // "inlineSourceMap": true, /* Include sourcemap files inside the emitted JavaScript. */ + // "noEmit": true, /* Disable emitting files from a compilation. */ + // "outFile": "./", /* Specify a file that bundles all outputs into one JavaScript file. If 'declaration' is true, also designates a file that bundles all .d.ts output. */ + // "outDir": "./", /* Specify an output folder for all emitted files. */ + // "removeComments": true, /* Disable emitting comments. */ + // "importHelpers": true, /* Allow importing helper functions from tslib once per project, instead of including them per-file. */ + // "downlevelIteration": true, /* Emit more compliant, but verbose and less performant JavaScript for iteration. */ + // "sourceRoot": "", /* Specify the root path for debuggers to find the reference source code. */ + // "mapRoot": "", /* Specify the location where debugger should locate map files instead of generated locations. */ + // "inlineSources": true, /* Include source code in the sourcemaps inside the emitted JavaScript. */ + // "emitBOM": true, /* Emit a UTF-8 Byte Order Mark (BOM) in the beginning of output files. */ + // "newLine": "crlf", /* Set the newline character for emitting files. */ + // "stripInternal": true, /* Disable emitting declarations that have '@internal' in their JSDoc comments. */ + // "noEmitHelpers": true, /* Disable generating custom helper functions like '__extends' in compiled output. */ + // "noEmitOnError": true, /* Disable emitting files if any type checking errors are reported. */ + // "preserveConstEnums": true, /* Disable erasing 'const enum' declarations in generated code. */ + // "declarationDir": "./", /* Specify the output directory for generated declaration files. */ + + /* Interop Constraints */ + // "isolatedModules": true, /* Ensure that each file can be safely transpiled without relying on other imports. */ + // "verbatimModuleSyntax": true, /* Do not transform or elide any imports or exports not marked as type-only, ensuring they are written in the output file's format based on the 'module' setting. */ + // "isolatedDeclarations": true, /* Require sufficient annotation on exports so other tools can trivially generate declaration files. */ + // "allowSyntheticDefaultImports": true, /* Allow 'import x from y' when a module doesn't have a default export. */ + "esModuleInterop": true, /* Emit additional JavaScript to ease support for importing CommonJS modules. This enables 'allowSyntheticDefaultImports' for type compatibility. */ + // "preserveSymlinks": true, /* Disable resolving symlinks to their realpath. This correlates to the same flag in node. */ + "forceConsistentCasingInFileNames": true, /* Ensure that casing is correct in imports. */ + + /* Type Checking */ + "strict": true, /* Enable all strict type-checking options. */ + // "noImplicitAny": true, /* Enable error reporting for expressions and declarations with an implied 'any' type. */ + // "strictNullChecks": true, /* When type checking, take into account 'null' and 'undefined'. */ + // "strictFunctionTypes": true, /* When assigning functions, check to ensure parameters and the return values are subtype-compatible. */ + // "strictBindCallApply": true, /* Check that the arguments for 'bind', 'call', and 'apply' methods match the original function. */ + // "strictPropertyInitialization": true, /* Check for class properties that are declared but not set in the constructor. */ + // "strictBuiltinIteratorReturn": true, /* Built-in iterators are instantiated with a 'TReturn' type of 'undefined' instead of 'any'. */ + // "noImplicitThis": true, /* Enable error reporting when 'this' is given the type 'any'. */ + // "useUnknownInCatchVariables": true, /* Default catch clause variables as 'unknown' instead of 'any'. */ + // "alwaysStrict": true, /* Ensure 'use strict' is always emitted. */ + // "noUnusedLocals": true, /* Enable error reporting when local variables aren't read. */ + // "noUnusedParameters": true, /* Raise an error when a function parameter isn't read. */ + // "exactOptionalPropertyTypes": true, /* Interpret optional property types as written, rather than adding 'undefined'. */ + // "noImplicitReturns": true, /* Enable error reporting for codepaths that do not explicitly return in a function. */ + // "noFallthroughCasesInSwitch": true, /* Enable error reporting for fallthrough cases in switch statements. */ + // "noUncheckedIndexedAccess": true, /* Add 'undefined' to a type when accessed using an index. */ + // "noImplicitOverride": true, /* Ensure overriding members in derived classes are marked with an override modifier. */ + // "noPropertyAccessFromIndexSignature": true, /* Enforces using indexed accessors for keys declared using an indexed type. */ + // "allowUnusedLabels": true, /* Disable error reporting for unused labels. */ + // "allowUnreachableCode": true, /* Disable error reporting for unreachable code. */ + + /* Completeness */ + // "skipDefaultLibCheck": true, /* Skip type checking .d.ts files that are included with TypeScript. */ + "skipLibCheck": true /* Skip type checking all .d.ts files. */ + } +} diff --git "a/\320\2403212/zinchenko_408657/lab2/report.pdf" "b/\320\2403212/zinchenko_408657/lab2/report.pdf" new file mode 100644 index 0000000..00719fd Binary files /dev/null and "b/\320\2403212/zinchenko_408657/lab2/report.pdf" differ diff --git "a/\320\2403212/zinchenko_408657/lab3/README.md" "b/\320\2403212/zinchenko_408657/lab3/README.md" deleted file mode 100644 index facfbc9..0000000 --- "a/\320\2403212/zinchenko_408657/lab3/README.md" +++ /dev/null @@ -1 +0,0 @@ -Лабораторная работа 3 diff --git "a/\320\2403212/zinchenko_408657/lab3/code/.gitignore" "b/\320\2403212/zinchenko_408657/lab3/code/.gitignore" new file mode 100644 index 0000000..38d7344 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/.gitignore" @@ -0,0 +1,13 @@ +# Local +.DS_Store +*.local +*.log* + +# Dist +node_modules +dist/ + +# IDE +.vscode/* +!.vscode/extensions.json +.idea diff --git "a/\320\2403212/zinchenko_408657/lab3/code/README.md" "b/\320\2403212/zinchenko_408657/lab3/code/README.md" new file mode 100644 index 0000000..5fc0306 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/README.md" @@ -0,0 +1,29 @@ +# Rsbuild project + +## Setup + +Install the dependencies: + +```bash +pnpm install +``` + +## Get started + +Start the dev server: + +```bash +pnpm dev +``` + +Build the app for production: + +```bash +pnpm build +``` + +Preview the production build locally: + +```bash +pnpm preview +``` diff --git "a/\320\2403212/zinchenko_408657/lab3/code/jest.config.js" "b/\320\2403212/zinchenko_408657/lab3/code/jest.config.js" new file mode 100644 index 0000000..031eabf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/jest.config.js" @@ -0,0 +1,11 @@ +import { createDefaultPreset } from 'ts-jest' + +const tsJestTransformCfg = createDefaultPreset().transform + +/** @type {import("jest").Config} **/ +export default { + testEnvironment: "node", + transform: { + ...tsJestTransformCfg, + }, +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab3/code/package-lock.json" "b/\320\2403212/zinchenko_408657/lab3/code/package-lock.json" new file mode 100644 index 0000000..9614a24 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/package-lock.json" @@ -0,0 +1,5665 @@ +{ + "name": "rsbuild-react-ts", + "version": "1.0.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "rsbuild-react-ts", + "version": "1.0.0", + "dependencies": { 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+ "uuid": "^11.1.0" + }, + "devDependencies": { + "@jest/globals": "^29.7.0", + "@rsbuild/core": "^1.3.15", + "@rsbuild/plugin-react": "^1.3.0", + "@types/react": "^19.1.2", + "@types/react-dom": "^19.1.3", + "jest": "^29.7.0", + "ts-jest": "^29.3.3", + "typescript": "^5.8.3" + } +} diff --git "a/\320\2403212/zinchenko_408657/lab3/code/rsbuild.config.ts" "b/\320\2403212/zinchenko_408657/lab3/code/rsbuild.config.ts" new file mode 100644 index 0000000..c14b6c4 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/rsbuild.config.ts" @@ -0,0 +1,9 @@ +import { defineConfig } from '@rsbuild/core'; +import { pluginReact } from '@rsbuild/plugin-react'; + +export default defineConfig({ + plugins: [pluginReact()], + html: { + title: 'Лаб. 3' + } +}); diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/App.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/App.tsx" new file mode 100644 index 0000000..b846df1 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/App.tsx" @@ -0,0 +1,237 @@ +import { + Box, + Button, + Card, + createListCollection, + Field, + Heading, + HStack, + Input, + Portal, + Select, + Stack, + Text, +} from "@chakra-ui/react"; +import { Provider } from "./components/ui/provider"; +import { f1, f2, f3, integrate, IntegrationMethod } from "./math"; +import { Controller, SubmitHandler, useForm } from "react-hook-form"; +import { ReactNode, useState } from "react"; +import Chart, { ChartProps } from "./components/chart"; +import dayjs from "dayjs"; +import { v4 } from "uuid"; + +type UserInput = { + function: string[], + method: IntegrationMethod[], + left: string, + right: string, + n: string, + epsilon: string +} + +type consoleInput = { + id: string; + element: ReactNode; +} + +const App = () => { + const functionSelect = createListCollection({ + items: [ + { value: "0", label: "f₁(x) = 2x³ - 3x² + 5x - 9" }, + { value: "1", label: "f₂(x) = 3x³ - 2x² + 7x + 26" }, + { value: "2", label: "f₃(x) = ∛x + sin(x)/e^{sin(x)}" }, + ], + }); + + const methodList = createListCollection({ + items: [ + { value: IntegrationMethod.LeftRectangle, label: "левые прямоугольники" }, + { value: IntegrationMethod.RightRectangle, label: "правые прямоугольники", }, + { value: IntegrationMethod.Midpoint, label: "средние прямоугольники" }, + { value: IntegrationMethod.Trapezoidal, label: "трапеции" }, + { value: IntegrationMethod.Simpson, label: "Симпсона" }, + ], + }); + + const [console, setConsole] = useState([]); + const consolePush = (msg: string | ReactNode) => { + setConsole(prev => [...prev, ({ + id: v4(), + element: ( + + {dayjs().format('HH:mm:ss')} + {msg} + + ) + })]); + } + + + const [data, setData] = useState({ + labels: [], + data: [] + }); + + const { register, handleSubmit, control } = useForm({ + defaultValues: { + n: "4", + epsilon: "0.001", + } + }); + + const functions = { + "0": f1, + "1": f2, + "2": f3 + } + + const onSubmit: SubmitHandler = (data) => { + if (['epsilon', 'n', 'right', 'left'].some(key => isNaN(Number(data[key as keyof UserInput])))) { + consolePush('Проверьте, что все значения в форме являются числами') + } + + const { left, right, epsilon } = { + left: Number(data.left), + right: Number(data.right), + epsilon: Number(data.epsilon) + } + + const func = functions[data.function[0] as "0" | "1" | "2"]; + + const result = integrate( + data.method[0], + func, + left, + right, + epsilon + ); + + consolePush(`Результат вычисления: ${result.result}`); + consolePush(`Кол-во итераций: ${result.n}`); + + const delta = (right - left) * 1.1 / 100; + const offset = (right - left) - delta*100; + const xs = [...Array(100).keys()].map(v => left + offset/2 + v*delta); + setData({ + labels: xs.map(x => x.toPrecision(3)), + data: xs.map(x => func(x)) + }); + } + + return ( + + + + + + Пользовательский ввод +
+ + + ( + field.onChange(value)} + onInteractOutside={() => field.onBlur()}> + + Функция + + + + + + + + + + + + {functionSelect.items.map((func) => ( + + {func.label} + + + ))} + + + + + )} /> + + ( + field.onChange(value)} + onInteractOutside={() => field.onBlur()}> + + Метод + + + + + + + + + + + + {methodList.items.map((method) => ( + + {method.label} + + + ))} + + + + + )} /> + + + + Левая граница + + + + + Правая граница + + + + + + Точность вычисления + + + + + +
+ + + + + + + + + + + {console.map(str => {str.element})} + + + + + ); +}; + +export default App; diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/components/chart.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/components/chart.tsx" new file mode 100644 index 0000000..c6848e9 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/components/chart.tsx" @@ -0,0 +1,50 @@ +import { + Chart as ChartJS, + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend, +} from 'chart.js'; +import { Line } from 'react-chartjs-2'; + +ChartJS.register( + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend +); + +export const options = { + responsive: true, + plugins: { + }, +}; + +export type ChartProps = { + labels: (number | string)[]; + data: number[]; +} + +const Chart = (props: ChartProps) => { + return ( + + ) +} + +export default Chart; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/color-mode.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/color-mode.tsx" new file mode 100644 index 0000000..f93feab --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/color-mode.tsx" @@ -0,0 +1,107 @@ +"use client" + +import type { IconButtonProps, SpanProps } from "@chakra-ui/react" +import { ClientOnly, IconButton, Skeleton, Span } from "@chakra-ui/react" +import { ThemeProvider, useTheme } from "next-themes" +import type { ThemeProviderProps } from "next-themes" +import * as React from "react" +import { LuMoon, LuSun } from "react-icons/lu" + +export interface ColorModeProviderProps extends ThemeProviderProps {} + +export function ColorModeProvider(props: ColorModeProviderProps) { + return ( + + ) +} + +export type ColorMode = "light" | "dark" + +export interface UseColorModeReturn { + colorMode: ColorMode + setColorMode: (colorMode: ColorMode) => void + toggleColorMode: () => void +} + +export function useColorMode(): UseColorModeReturn { + const { resolvedTheme, setTheme } = useTheme() + const toggleColorMode = () => { + setTheme(resolvedTheme === "dark" ? "light" : "dark") + } + return { + colorMode: resolvedTheme as ColorMode, + setColorMode: setTheme, + toggleColorMode, + } +} + +export function useColorModeValue(light: T, dark: T) { + const { colorMode } = useColorMode() + return colorMode === "dark" ? dark : light +} + +export function ColorModeIcon() { + const { colorMode } = useColorMode() + return colorMode === "dark" ? : +} + +interface ColorModeButtonProps extends Omit {} + +export const ColorModeButton = React.forwardRef< + HTMLButtonElement, + ColorModeButtonProps +>(function ColorModeButton(props, ref) { + const { toggleColorMode } = useColorMode() + return ( + }> + + + + + ) +}) + +export const LightMode = React.forwardRef( + function LightMode(props, ref) { + return ( + + ) + }, +) + +export const DarkMode = React.forwardRef( + function DarkMode(props, ref) { + return ( + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/provider.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/provider.tsx" new file mode 100644 index 0000000..fd0331b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/provider.tsx" @@ -0,0 +1,15 @@ +"use client" + +import { ChakraProvider, defaultSystem } from "@chakra-ui/react" +import { + ColorModeProvider, + type ColorModeProviderProps, +} from "./color-mode" + +export function Provider(props: ColorModeProviderProps) { + return ( + + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/toaster.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/toaster.tsx" new file mode 100644 index 0000000..df6c2c3 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/toaster.tsx" @@ -0,0 +1,43 @@ +"use client" + +import { + Toaster as ChakraToaster, + Portal, + Spinner, + Stack, + Toast, + createToaster, +} from "@chakra-ui/react" + +export const toaster = createToaster({ + placement: "bottom-end", + pauseOnPageIdle: true, +}) + +export const Toaster = () => { + return ( + + + {(toast) => ( + + {toast.type === "loading" ? ( + + ) : ( + + )} + + {toast.title && {toast.title}} + {toast.description && ( + {toast.description} + )} + + {toast.action && ( + {toast.action.label} + )} + {toast.meta?.closable && } + + )} + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/tooltip.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/tooltip.tsx" new file mode 100644 index 0000000..43a8a6c --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/components/ui/tooltip.tsx" @@ -0,0 +1,46 @@ +import { Tooltip as ChakraTooltip, Portal } from "@chakra-ui/react" +import * as React from "react" + +export interface TooltipProps extends ChakraTooltip.RootProps { + showArrow?: boolean + portalled?: boolean + portalRef?: React.RefObject + content: React.ReactNode + contentProps?: ChakraTooltip.ContentProps + disabled?: boolean +} + +export const Tooltip = React.forwardRef( + function Tooltip(props, ref) { + const { + showArrow, + children, + disabled, + portalled = true, + content, + contentProps, + portalRef, + ...rest + } = props + + if (disabled) return children + + return ( + + {children} + + + + {showArrow && ( + + + + )} + {content} + + + + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/env.d.ts" "b/\320\2403212/zinchenko_408657/lab3/code/src/env.d.ts" new file mode 100644 index 0000000..b0ac762 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/env.d.ts" @@ -0,0 +1 @@ +/// diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/index.tsx" "b/\320\2403212/zinchenko_408657/lab3/code/src/index.tsx" new file mode 100644 index 0000000..55f29bf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/index.tsx" @@ -0,0 +1,13 @@ +import React from 'react'; +import ReactDOM from 'react-dom/client'; +import App from './App'; + +const rootEl = document.getElementById('root'); +if (rootEl) { + const root = ReactDOM.createRoot(rootEl); + root.render( + + + , + ); +} diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/math/index.test.ts" "b/\320\2403212/zinchenko_408657/lab3/code/src/math/index.test.ts" new file mode 100644 index 0000000..22266c8 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/math/index.test.ts" @@ -0,0 +1,75 @@ +import {describe, expect, test, it} from '@jest/globals'; +import { integrate, IntegrationMethod, f1, f2, f3 } from './index'; + +describe('Базовые тесты для функций f1, f2, f3', () => { + test('f1(x) = 2x³ − 3x² + 5x − 9', () => { + expect(f1(0)).toBe(-9); + expect(f1(1)).toBe(-5); + expect(f1(2)).toBe(2 * 8 - 3 * 4 + 5 * 2 - 9); // 16 - 12 + 10 - 9 = 5 + expect(f1(2)).toBe(5); + }); + + test('f2(x) = 3x³ − 2x² + 7x + 26', () => { + expect(f2(0)).toBe(26); + expect(f2(1)).toBe(3 - 2 + 7 + 26); // =34 + expect(f2(1)).toBe(34); + // ещё одна точка + expect(f2(2)).toBe(3 * 8 - 2 * 4 + 7 * 2 + 26); // 24 - 8 + 14 + 26 = 56 + expect(f2(2)).toBe(56); + }); + + test('f3(x) = ∛x + sin(x)/e^{sin(x)}', () => { + // при x=0 должно получиться 0 + expect(f3(0)).toBe(0); + // при x=π/2 сравним с явным выражением + const x = Math.PI / 2; + const expected = Math.cbrt(x) + Math.sin(x) / Math.exp(Math.sin(x)); + expect(f3(x)).toBeCloseTo(expected, 12); + }); +}); + +describe('Тесты интегрирования методом Simpson и др.', () => { + const eps = 1e-6; + + test.each([ + // [метод, функция, a, b, аналитическое значение] + [IntegrationMethod.Simpson, f1, 0, 2, -8], + [IntegrationMethod.Trapezoidal, f1, 0, 2, -8], + [IntegrationMethod.Midpoint, f1, 0, 2, -8], + [IntegrationMethod.Simpson, f2, 0, 1, 29.5833333333], + [IntegrationMethod.Trapezoidal, f2, 0, 1, 29.5833333333], + ])( + '%s интегрирует корректно заданную функцию от %p до %p', + (method, fn, a, b, analytic) => { + const { result, n } = integrate(method as IntegrationMethod, fn as any, a as number, b as number, eps); + expect(result).toBeCloseTo(analytic, 5); + // проверим, что разбиений хоть сколько-то используется + expect(n).toBeGreaterThan(0); + // для Симпсона число разбиений должно быть чётным + if (method === IntegrationMethod.Simpson) { + expect(n % 2).toBe(0); + } + } + ); +}); + +describe('Интегрирование простой функции x на [0,1]', () => { + // проверим convergence для примера f(x)=x, ∫0^1 x dx = 0.5 + const eps = 1e-6; + const linear: (x: number) => number = x => x; + + it('Simpson даёт ~0.5', () => { + const { result } = integrate(IntegrationMethod.Simpson, linear, 0, 1, eps); + expect(result).toBeCloseTo(0.5, 6); + }); + + it('Trapezoidal даёт ~0.5', () => { + const { result } = integrate(IntegrationMethod.Trapezoidal, linear, 0, 1, eps); + expect(result).toBeCloseTo(0.5, 6); + }); + + it('Midpoint даёт ~0.5', () => { + const { result } = integrate(IntegrationMethod.Midpoint, linear, 0, 1, eps); + expect(result).toBeCloseTo(0.5, 6); + }); +}); diff --git "a/\320\2403212/zinchenko_408657/lab3/code/src/math/index.ts" "b/\320\2403212/zinchenko_408657/lab3/code/src/math/index.ts" new file mode 100644 index 0000000..a47cb0f --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/src/math/index.ts" @@ -0,0 +1,151 @@ +export type Integrand = (x: number) => number; + +export enum IntegrationMethod { + LeftRectangle = 'LeftRectangle', + RightRectangle = 'RightRectangle', + Midpoint = 'Midpoint', + Trapezoidal = 'Trapezoidal', + Simpson = 'Simpson', +} + +/** f₁(x) = 2x³ - 3x² + 5x - 9 */ +export function f1(x: number): number { + return 2 * x ** 3 - 3 * x ** 2 + 5 * x - 9; +} + +/** f₂(x) = 3x³ - 2x² + 7x + 26 */ +export function f2(x: number): number { + return 3 * x ** 3 - 2 * x ** 2 + 7 * x + 26; +} + +/** f₃(x) = ∛x + sin(x)/e^{sin(x)} */ +export function f3(x: number): number { + return Math.cbrt(x) + Math.sin(x) / Math.exp(Math.sin(x)); +} + +export function integrate( + method: IntegrationMethod, + f: Integrand, + a: number, + b: number, + epsilon: number +): { result: number; n: number } { + let n = 4; + let I = compute(method, f, a, b, n); + + while (true) { + n *= 2; + const I2 = compute(method, f, a, b, n); + const p = getOrder(method); + const errorEstimate = Math.abs(I2 - I) / (2 ** p - 1); + if (errorEstimate < epsilon) { + return { result: I2, n }; + } + I = I2; + } +} + +const methods = { + [IntegrationMethod.LeftRectangle]: computeLeftRectangle, + [IntegrationMethod.RightRectangle]: computeRightRectangle, + [IntegrationMethod.Midpoint]: computeMidpoint, + [IntegrationMethod.Trapezoidal]: computeTrapezoidal, + [IntegrationMethod.Simpson]: computeSimpson, +} + +function compute( + method: IntegrationMethod, + f: Integrand, + a: number, + b: number, + n: number +): number { + return methods[method](f, a, b, n); +} + +function computeLeftRectangle( + f: Integrand, + a: number, + b: number, + n: number +): number { + const h = (b - a) / n; + let sum = 0; + for (let i = 0; i < n; i++) { + sum += f(a + i * h); + } + return sum * h; +} + +function computeRightRectangle( + f: Integrand, + a: number, + b: number, + n: number +): number { + const h = (b - a) / n; + let sum = 0; + for (let i = 1; i <= n; i++) { + sum += f(a + i * h); + } + return sum * h; +} + +function computeMidpoint( + f: Integrand, + a: number, + b: number, + n: number +): number { + const h = (b - a) / n; + let sum = 0; + for (let i = 0; i < n; i++) { + sum += f(a + (i + 0.5) * h); + } + return sum * h; +} + +function computeTrapezoidal( + f: Integrand, + a: number, + b: number, + n: number +): number { + const h = (b - a) / n; + let sum = (f(a) + f(b)) / 2; + for (let i = 1; i < n; i++) { + sum += f(a + i * h); + } + return sum * h; +} + +function computeSimpson( + f: Integrand, + a: number, + b: number, + n: number +): number { + const h = (b - a) / n; + let sum = f(a) + f(b); + for (let i = 1; i < n; i++) { + const x = a + i * h; + sum += (i % 2 ? 4 : 2) * f(x); + } + return (sum * h) / 3; +} + +function getOrder(method: IntegrationMethod): number { + switch (method) { + case IntegrationMethod.LeftRectangle: + case IntegrationMethod.RightRectangle: + case IntegrationMethod.Midpoint: + case IntegrationMethod.Trapezoidal: + return 2; + + case IntegrationMethod.Simpson: + return 4; + + default: + throw new Error(`Неизвестный метод: ${method}`); + } +} diff --git "a/\320\2403212/zinchenko_408657/lab3/code/tsconfig.json" "b/\320\2403212/zinchenko_408657/lab3/code/tsconfig.json" new file mode 100644 index 0000000..e53d1e5 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab3/code/tsconfig.json" @@ -0,0 +1,23 @@ +{ + "compilerOptions": { + "lib": ["DOM", "ES2020"], + "jsx": "react-jsx", + "target": "ES2020", + "noEmit": true, + "skipLibCheck": true, + "useDefineForClassFields": true, + + /* modules */ + "module": "ESNext", + "isolatedModules": true, + "resolveJsonModule": true, + "moduleResolution": "bundler", + "allowImportingTsExtensions": true, + + /* type checking */ + "strict": true, + "noUnusedLocals": true, + "noUnusedParameters": true + }, + "include": ["src"] +} diff --git "a/\320\2403212/zinchenko_408657/lab3/report.pdf" "b/\320\2403212/zinchenko_408657/lab3/report.pdf" new file mode 100644 index 0000000..894abeb Binary files /dev/null and "b/\320\2403212/zinchenko_408657/lab3/report.pdf" differ diff --git "a/\320\2403212/zinchenko_408657/lab4/README.md" "b/\320\2403212/zinchenko_408657/lab4/README.md" deleted file mode 100644 index 6313d17..0000000 --- "a/\320\2403212/zinchenko_408657/lab4/README.md" +++ /dev/null @@ -1 +0,0 @@ -Лабораторная работа 4 diff --git "a/\320\2403212/zinchenko_408657/lab4/code/.gitignore" "b/\320\2403212/zinchenko_408657/lab4/code/.gitignore" new file mode 100644 index 0000000..38d7344 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/.gitignore" @@ -0,0 +1,13 @@ +# Local +.DS_Store +*.local +*.log* + +# Dist +node_modules +dist/ + +# IDE +.vscode/* +!.vscode/extensions.json +.idea diff --git "a/\320\2403212/zinchenko_408657/lab4/code/README.md" "b/\320\2403212/zinchenko_408657/lab4/code/README.md" new file mode 100644 index 0000000..5fc0306 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/README.md" @@ -0,0 +1,29 @@ +# Rsbuild project + +## Setup + +Install the dependencies: + +```bash +pnpm install +``` + +## Get started + +Start the dev server: + +```bash +pnpm dev +``` + +Build the app for production: + +```bash +pnpm build +``` + +Preview the production build locally: + +```bash +pnpm preview +``` diff --git "a/\320\2403212/zinchenko_408657/lab4/code/jest.config.js" "b/\320\2403212/zinchenko_408657/lab4/code/jest.config.js" new file mode 100644 index 0000000..031eabf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/jest.config.js" @@ -0,0 +1,11 @@ +import { createDefaultPreset } from 'ts-jest' + +const tsJestTransformCfg = createDefaultPreset().transform + +/** @type {import("jest").Config} **/ +export default { + testEnvironment: "node", + transform: { + ...tsJestTransformCfg, + }, +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab4/code/package-lock.json" "b/\320\2403212/zinchenko_408657/lab4/code/package-lock.json" new file mode 100644 index 0000000..9614a24 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/package-lock.json" @@ -0,0 +1,5665 @@ +{ + "name": "rsbuild-react-ts", + "version": "1.0.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "rsbuild-react-ts", + "version": "1.0.0", + "dependencies": { + "@chakra-ui/react": "^3.19.0", + "chart.js": "^4.4.9", + "dayjs": "^1.11.13", + "next-themes": "^0.4.6", + "react": "^19.1.0", + "react-chartjs-2": "^5.3.0", + "react-dom": "^19.1.0", + "react-hook-form": "^7.56.3", + "react-icons": "^5.5.0", + "uuid": "^11.1.0" + }, + "devDependencies": { + "@jest/globals": "^29.7.0", + "@rsbuild/core": "^1.3.15", + "@rsbuild/plugin-react": "^1.3.0", + "@types/react": "^19.1.2", + "@types/react-dom": "^19.1.3", + "jest": "^29.7.0", + "ts-jest": "^29.3.3", + "typescript": "^5.8.3" + } + }, + "node_modules/@ampproject/remapping": { + "version": "2.3.0", + "resolved": "https://registry.npmjs.org/@ampproject/remapping/-/remapping-2.3.0.tgz", + "integrity": "sha512-30iZtAPgz+LTIYoeivqYo853f02jBYSd5uGnGpkFV0M3xOt9aN73erkgYAmZU43x4VfqcnLxW9Kpg3R5LC4YYw==", + "dev": true, + "license": "Apache-2.0", + "dependencies": { + "@jridgewell/gen-mapping": "^0.3.5", + "@jridgewell/trace-mapping": "^0.3.24" + }, + "engines": { + "node": ">=6.0.0" + } + }, + "node_modules/@ark-ui/react": { + "version": "5.9.1", + "resolved": "https://registry.npmjs.org/@ark-ui/react/-/react-5.9.1.tgz", + "integrity": "sha512-CPJtUy20x1kUAQ+8iPbgpq/RmqlF1Pfx91+8nHnYbR2dYI4mNKnxT8m7TGkoWT72W+P8YKYUehFJOPvspZqG2Q==", + "license": "MIT", + "dependencies": { + "@internationalized/date": "3.8.0", + "@zag-js/accordion": "1.12.2", + "@zag-js/anatomy": "1.12.2", + "@zag-js/angle-slider": "1.12.2", + "@zag-js/auto-resize": "1.12.2", + "@zag-js/avatar": "1.12.2", + "@zag-js/carousel": "1.12.2", + "@zag-js/checkbox": "1.12.2", + "@zag-js/clipboard": "1.12.2", + 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"sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", + "dev": true, + "license": "MIT", + "engines": { + "node": ">=10" + }, + "funding": { + "url": "https://github.com/sponsors/sindresorhus" + } + } + } +} diff --git "a/\320\2403212/zinchenko_408657/lab4/code/package.json" "b/\320\2403212/zinchenko_408657/lab4/code/package.json" new file mode 100644 index 0000000..ed5ddec --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/package.json" @@ -0,0 +1,34 @@ +{ + "name": "rsbuild-react-ts", + "version": "1.0.0", + "private": true, + "type": "module", + "scripts": { + "build": "rsbuild build", + "dev": "rsbuild dev --open", + "preview": "rsbuild preview", + "test": "jest" + }, + "dependencies": { + "@chakra-ui/react": "^3.19.0", + "chart.js": "^4.4.9", + "dayjs": "^1.11.13", + "next-themes": "^0.4.6", + "react": "^19.1.0", + "react-chartjs-2": "^5.3.0", + "react-dom": "^19.1.0", + "react-hook-form": "^7.56.3", + "react-icons": "^5.5.0", + "uuid": "^11.1.0" + }, + "devDependencies": { + "@jest/globals": "^29.7.0", + "@rsbuild/core": "^1.3.15", + "@rsbuild/plugin-react": "^1.3.0", + "@types/react": "^19.1.2", + "@types/react-dom": "^19.1.3", + "jest": "^29.7.0", + "ts-jest": "^29.3.3", + "typescript": "^5.8.3" + } +} diff --git "a/\320\2403212/zinchenko_408657/lab4/code/rsbuild.config.ts" "b/\320\2403212/zinchenko_408657/lab4/code/rsbuild.config.ts" new file mode 100644 index 0000000..47207f7 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/rsbuild.config.ts" @@ -0,0 +1,9 @@ +import { defineConfig } from '@rsbuild/core'; +import { pluginReact } from '@rsbuild/plugin-react'; + +export default defineConfig({ + plugins: [pluginReact()], + html: { + title: 'Лаб. 4' + } +}); diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/App.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/App.tsx" new file mode 100644 index 0000000..db6cd0a --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/App.tsx" @@ -0,0 +1,181 @@ +import { + Box, + Button, + Card, + Heading, + HStack, + SimpleGrid, + Stack, + Text, + VStack, +} from "@chakra-ui/react"; +import { Provider } from "./components/ui/provider"; +import { approximateLeastSquares } from "./math"; +import { ReactNode, useState } from "react"; +import Chart from "./components/chart"; +import PointsTable, { Point } from "./components/PointsTable"; +import dayjs from "dayjs"; +import { v4 } from "uuid"; + +type ConsoleInput = { + id: string; + element: ReactNode; +} + +const App = () => { + const [console, setConsole] = useState([]); + const consolePush = (msg: string | ReactNode) => { + setConsole(prev => [...prev, ({ + id: v4(), + element: ( + + {dayjs().format('HH:mm:ss')} + {msg} + + ) + })]); + } + + const [models, setModels] = useState<{ + labels: string[]; + points: number[]; + models: Array<{ + name: string; + predictions: number[]; + rms: number; + r2: number; + }>; + } | null>(null); + + const [points, setPoints] = useState([ + { x: 1, y: 2 }, + { x: 2, y: 4 }, + { x: 3, y: 6 }, + { x: 4, y: 8 }, + { x: 5, y: 10 }, + { x: 6, y: 12 }, + { x: 7, y: 14 }, + { x: 8, y: 16 }, + ]); + + const handleApproximate = () => { + try { + if (points.length < 8 || points.length > 12) { + consolePush('Количество точек должно быть от 8 до 12'); + return; + } + + const result = approximateLeastSquares(points); + + const hasNegativeY = points.some(p => p.y <= 0); + const hasNegativeOrZeroX = points.some(p => p.x <= 0); + + if (hasNegativeY) { + consolePush( + + Экспоненциальная и степенная модели не построены, так как присутствуют отрицательные или нулевые значения Y + + ); + } + + if (hasNegativeOrZeroX) { + consolePush( + + Степенная и логарифмическая модели не построены, так как присутствуют отрицательные или нулевые значения X + + ); + } + + result.models.forEach(model => { + consolePush( + + Модель: {model.name} + Коэффициенты: {model.coefficients.map(c => c.toFixed(4)).join(', ')} + Среднеквадратичное отклонение: {model.rms.toFixed(4)} + Коэффициент детерминации R²: {model.r2.toFixed(4)} + {model.pearsonCorrelation !== undefined && + Коэффициент корреляции Пирсона: {model.pearsonCorrelation.toFixed(4)} + } + + ); + }); + + consolePush( + + Лучшая модель: {result.bestModel.name} + + ); + + setModels({ + labels: points.map(p => p.x.toFixed(2)), + points: points.map(p => p.y), + models: result.models.map(model => ({ + name: model.name, + predictions: model.predictions, + rms: model.rms, + r2: model.r2, + })) + }); + + } catch (error: unknown) { + if (error instanceof Error) { + consolePush(`Ошибка: ${error.message}`); + } else { + consolePush('Произошла неизвестная ошибка'); + } + } + }; + + return ( + + + + + + + Аппроксимация функций + + + + + + + + + {console.map(str => {str.element})} + + + + + + {models && ( + + {models.models.map((model) => ( + + + + + + ))} + + )} + + + + + ); +}; + +export default App; diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/components/PointsTable.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/components/PointsTable.tsx" new file mode 100644 index 0000000..39e31b4 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/components/PointsTable.tsx" @@ -0,0 +1,148 @@ +import { + Button, + HStack, + Input, + Table, + Text, + VStack, +} from "@chakra-ui/react"; +import { ChangeEvent, useRef } from "react"; + +export interface Point { + x: number; + y: number; +} + +interface PointsTableProps { + points: Point[]; + onChange: (points: Point[]) => void; +} + +const PointsTable = ({ points, onChange }: PointsTableProps) => { + const handlePointChange = (index: number, axis: 'x' | 'y', value: string) => { + const newValue = Number(value); + if (isNaN(newValue)) return; + + const newPoints = [...points]; + newPoints[index] = { + ...newPoints[index], + [axis]: newValue, + }; + onChange(newPoints); + }; + + const addPoint = () => { + if (points.length >= 12) return; + onChange([...points, { x: 0, y: 0 }]); + }; + + const removePoint = () => { + if (points.length <= 8) return; + onChange(points.slice(0, -1)); + }; + + const handleFileChange = (e: ChangeEvent) => { + const file = e.target.files?.[0]; + if (!file) return; + + const reader = new FileReader(); + reader.onload = (event) => { + const text = event.target?.result as string; + const lines = text.split('\n') + .map(line => line.trim()) + .filter(line => line.length > 0); + + const newPoints: Point[] = lines.map(line => { + const [x, y] = line.split(',').map(Number); + return { x, y }; + }).filter(point => !isNaN(point.x) && !isNaN(point.y)); + + if (newPoints.length < 8 || newPoints.length > 12) { + alert('CSV файл должен содержать от 8 до 12 точек'); + return; + } + + onChange(newPoints); + }; + reader.readAsText(file); + }; + + const downloadRef = useRef(null); + + return ( + + + Точки ({points.length}/12) + + + + + + + + + + + + № + X + Y + + + + {points.map((point, index) => ( + + {index + 1} + + handlePointChange(index, 'x', e.target.value)} + type="number" + step="any" + /> + + + handlePointChange(index, 'y', e.target.value)} + type="number" + step="any" + /> + + + ))} + + + + ); +}; + +export default PointsTable; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/components/chart.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/components/chart.tsx" new file mode 100644 index 0000000..a130840 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/components/chart.tsx" @@ -0,0 +1,95 @@ +import { + Chart as ChartJS, + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend, +} from 'chart.js'; +import { Line } from 'react-chartjs-2'; + +ChartJS.register( + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend +); + +export const options = { + responsive: true, + maintainAspectRatio: false, + plugins: { + legend: { + display: false, + }, + title: { + display: true, + text: '', + } + }, +}; + +const COLORS = { + points: { border: 'rgb(53, 162, 235)', background: 'rgba(53, 162, 235, 0.5)' }, + line: { border: 'rgb(255, 99, 132)', background: 'rgba(255, 99, 132, 0.5)' }, +}; + +export interface ChartProps { + title: string; + labels: (number | string)[]; + points: number[]; + predictions: number[]; + rms: number; + r2: number; +} + +const Chart = (props: ChartProps) => { + const datasets = [ + { + label: 'Точки', + data: props.points, + borderColor: COLORS.points.border, + backgroundColor: COLORS.points.background, + pointRadius: 5, + showLine: false, + }, + { + label: 'Модель', + data: props.predictions, + borderColor: COLORS.line.border, + backgroundColor: COLORS.line.background, + pointRadius: 0, + borderWidth: 2, + }, + ]; + + return ( + + ); +} + +export default Chart; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/color-mode.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/color-mode.tsx" new file mode 100644 index 0000000..f93feab --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/color-mode.tsx" @@ -0,0 +1,107 @@ +"use client" + +import type { IconButtonProps, SpanProps } from "@chakra-ui/react" +import { ClientOnly, IconButton, Skeleton, Span } from "@chakra-ui/react" +import { ThemeProvider, useTheme } from "next-themes" +import type { ThemeProviderProps } from "next-themes" +import * as React from "react" +import { LuMoon, LuSun } from "react-icons/lu" + +export interface ColorModeProviderProps extends ThemeProviderProps {} + +export function ColorModeProvider(props: ColorModeProviderProps) { + return ( + + ) +} + +export type ColorMode = "light" | "dark" + +export interface UseColorModeReturn { + colorMode: ColorMode + setColorMode: (colorMode: ColorMode) => void + toggleColorMode: () => void +} + +export function useColorMode(): UseColorModeReturn { + const { resolvedTheme, setTheme } = useTheme() + const toggleColorMode = () => { + setTheme(resolvedTheme === "dark" ? "light" : "dark") + } + return { + colorMode: resolvedTheme as ColorMode, + setColorMode: setTheme, + toggleColorMode, + } +} + +export function useColorModeValue(light: T, dark: T) { + const { colorMode } = useColorMode() + return colorMode === "dark" ? dark : light +} + +export function ColorModeIcon() { + const { colorMode } = useColorMode() + return colorMode === "dark" ? : +} + +interface ColorModeButtonProps extends Omit {} + +export const ColorModeButton = React.forwardRef< + HTMLButtonElement, + ColorModeButtonProps +>(function ColorModeButton(props, ref) { + const { toggleColorMode } = useColorMode() + return ( + }> + + + + + ) +}) + +export const LightMode = React.forwardRef( + function LightMode(props, ref) { + return ( + + ) + }, +) + +export const DarkMode = React.forwardRef( + function DarkMode(props, ref) { + return ( + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/provider.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/provider.tsx" new file mode 100644 index 0000000..fd0331b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/provider.tsx" @@ -0,0 +1,15 @@ +"use client" + +import { ChakraProvider, defaultSystem } from "@chakra-ui/react" +import { + ColorModeProvider, + type ColorModeProviderProps, +} from "./color-mode" + +export function Provider(props: ColorModeProviderProps) { + return ( + + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/toaster.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/toaster.tsx" new file mode 100644 index 0000000..df6c2c3 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/toaster.tsx" @@ -0,0 +1,43 @@ +"use client" + +import { + Toaster as ChakraToaster, + Portal, + Spinner, + Stack, + Toast, + createToaster, +} from "@chakra-ui/react" + +export const toaster = createToaster({ + placement: "bottom-end", + pauseOnPageIdle: true, +}) + +export const Toaster = () => { + return ( + + + {(toast) => ( + + {toast.type === "loading" ? ( + + ) : ( + + )} + + {toast.title && {toast.title}} + {toast.description && ( + {toast.description} + )} + + {toast.action && ( + {toast.action.label} + )} + {toast.meta?.closable && } + + )} + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/tooltip.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/tooltip.tsx" new file mode 100644 index 0000000..43a8a6c --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/components/ui/tooltip.tsx" @@ -0,0 +1,46 @@ +import { Tooltip as ChakraTooltip, Portal } from "@chakra-ui/react" +import * as React from "react" + +export interface TooltipProps extends ChakraTooltip.RootProps { + showArrow?: boolean + portalled?: boolean + portalRef?: React.RefObject + content: React.ReactNode + contentProps?: ChakraTooltip.ContentProps + disabled?: boolean +} + +export const Tooltip = React.forwardRef( + function Tooltip(props, ref) { + const { + showArrow, + children, + disabled, + portalled = true, + content, + contentProps, + portalRef, + ...rest + } = props + + if (disabled) return children + + return ( + + {children} + + + + {showArrow && ( + + + + )} + {content} + + + + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/env.d.ts" "b/\320\2403212/zinchenko_408657/lab4/code/src/env.d.ts" new file mode 100644 index 0000000..b0ac762 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/env.d.ts" @@ -0,0 +1 @@ +/// diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/index.tsx" "b/\320\2403212/zinchenko_408657/lab4/code/src/index.tsx" new file mode 100644 index 0000000..55f29bf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/index.tsx" @@ -0,0 +1,13 @@ +import React from 'react'; +import ReactDOM from 'react-dom/client'; +import App from './App'; + +const rootEl = document.getElementById('root'); +if (rootEl) { + const root = ReactDOM.createRoot(rootEl); + root.render( + + + , + ); +} diff --git "a/\320\2403212/zinchenko_408657/lab4/code/src/math/index.ts" "b/\320\2403212/zinchenko_408657/lab4/code/src/math/index.ts" new file mode 100644 index 0000000..e6dc67e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/src/math/index.ts" @@ -0,0 +1,187 @@ +export interface DataPoint { + x: number; + y: number; +} + +export interface ModelResult { + name: string; + coefficients: number[]; + rms: number; + r2: number; + predictions: number[]; + pearsonCorrelation?: number; +} + +export interface ApproximationResult { + models: ModelResult[]; + bestModel: ModelResult; +} + +export function approximateLeastSquares(data: DataPoint[]): ApproximationResult { + const n = data.length; + const xs = data.map(p => p.x); + const ys = data.map(p => p.y); + const meanY = mean(ys); + const ssTot = ys.reduce((sum, y) => sum + (y - meanY) ** 2, 0); + + const results: ModelResult[] = []; + + function addModel( + name: string, + coeffs: number[], + predict: (x: number) => number, + pearson?: number + ) { + const preds = xs.map(x => predict(x)); + const ssRes = ys.reduce((sum, y, i) => sum + (y - preds[i]) ** 2, 0); + const rms = Math.sqrt(ssRes / n); + const r2 = 1 - ssRes / ssTot; + const model: ModelResult = { name, coefficients: coeffs, rms, r2, predictions: preds }; + if (pearson !== undefined) model.pearsonCorrelation = pearson; + results.push(model); + } + + { + const { a: slope, b: intercept } = linearRegression(xs, ys); + const pearson = pearsonCorrelation(xs, ys); + addModel("Linear", [intercept, slope], x => intercept + slope * x, pearson); + } + + { + const coeffs = polyFit(xs, ys, 2); + addModel( + "Quadratic", + coeffs, + x => coeffs[0] + coeffs[1] * x + coeffs[2] * x * x + ); + } + + { + const coeffs = polyFit(xs, ys, 3); + addModel( + "Cubic", + coeffs, + x => coeffs[0] + coeffs[1] * x + coeffs[2] * x ** 2 + coeffs[3] * x ** 3 + ); + } + + if (ys.every(y => y > 0)) { + const logYs = ys.map(y => Math.log(y)); + const { a: B, b: lnA } = linearRegression(xs, logYs); + const A = Math.exp(lnA); + addModel("Exponential", [A, B], x => A * Math.exp(B * x)); + } + + if (xs.every(x => x > 0)) { + const logXs = xs.map(x => Math.log(x)); + const { a: B, b: A } = linearRegression(logXs, ys); + addModel("Logarithmic", [A, B], x => A + B * Math.log(x)); + } + + if (xs.every(x => x > 0) && ys.every(y => y > 0)) { + const logXs = xs.map(x => Math.log(x)); + const logYs = ys.map(y => Math.log(y)); + const { a: B, b: lnA } = linearRegression(logXs, logYs); + const A = Math.exp(lnA); + addModel("Power", [A, B], x => A * Math.pow(x, B)); + } + + const bestModel = results.reduce((best, model) => + model.rms < best.rms ? model : best); + + return { models: results, bestModel }; +} + + +function mean(arr: number[]): number { + return arr.reduce((s, v) => s + v, 0) / arr.length; +} + +function linearRegression(xs: number[], ys: number[]): { a: number; b: number } { + const n = xs.length; + const meanX = mean(xs); + const meanY = mean(ys); + let num = 0; + let den = 0; + for (let i = 0; i < n; i++) { + num += (xs[i] - meanX) * (ys[i] - meanY); + den += (xs[i] - meanX) ** 2; + } + const a = num / den; + const b = meanY - a * meanX; + return { a, b }; +} + +function pearsonCorrelation(xs: number[], ys: number[]): number { + const n = xs.length; + const meanX = mean(xs); + const meanY = mean(ys); + let num = 0; + let denX = 0; + let denY = 0; + for (let i = 0; i < n; i++) { + const dx = xs[i] - meanX; + const dy = ys[i] - meanY; + num += dx * dy; + denX += dx ** 2; + denY += dy ** 2; + } + return num / Math.sqrt(denX * denY); +} + +function polyFit(xs: number[], ys: number[], degree: number): number[] { + const n = xs.length; + const m = degree + 1; + const A: number[][] = Array.from({ length: m }, () => Array(m).fill(0)); + const b: number[] = Array(m).fill(0); + + for (let i = 0; i < n; i++) { + const xi = xs[i]; + const yi = ys[i]; + for (let j = 0; j < m; j++) { + for (let k = 0; k < m; k++) { + A[j][k] += Math.pow(xi, j + k); + } + b[j] += yi * Math.pow(xi, j); + } + } + + return solveLinearSystem(A, b); +} + +function solveLinearSystem(A: number[][], b: number[]): number[] { + const n = A.length; + const M = A.map(row => row.slice()); + const B = b.slice(); + + for (let i = 0; i < n; i++) { + let maxRow = i; + for (let k = i + 1; k < n; k++) { + if (Math.abs(M[k][i]) > Math.abs(M[maxRow][i])) maxRow = k; + } + [M[i], M[maxRow]] = [M[maxRow], M[i]]; + [B[i], B[maxRow]] = [B[maxRow], B[i]]; + + const pivot = M[i][i]; + if (Math.abs(pivot) < 1e-12) { + throw new Error("Матрица вырождена или близка к вырождению"); + } + + for (let j = i; j < n; j++) { + M[i][j] /= pivot; + } + B[i] /= pivot; + + for (let k = 0; k < n; k++) { + if (k !== i) { + const factor = M[k][i]; + for (let j = i; j < n; j++) { + M[k][j] -= factor * M[i][j]; + } + B[k] -= factor * B[i]; + } + } + } + + return B; +} diff --git "a/\320\2403212/zinchenko_408657/lab4/code/tsconfig.json" "b/\320\2403212/zinchenko_408657/lab4/code/tsconfig.json" new file mode 100644 index 0000000..e53d1e5 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab4/code/tsconfig.json" @@ -0,0 +1,23 @@ +{ + "compilerOptions": { + "lib": ["DOM", "ES2020"], + "jsx": "react-jsx", + "target": "ES2020", + "noEmit": true, + "skipLibCheck": true, + "useDefineForClassFields": true, + + /* modules */ + "module": "ESNext", + "isolatedModules": true, + "resolveJsonModule": true, + "moduleResolution": "bundler", + "allowImportingTsExtensions": true, + + /* type checking */ + "strict": true, + "noUnusedLocals": true, + "noUnusedParameters": true + }, + "include": ["src"] +} diff --git "a/\320\2403212/zinchenko_408657/lab4/report.pdf" "b/\320\2403212/zinchenko_408657/lab4/report.pdf" new file mode 100644 index 0000000..4e4e8ad Binary files /dev/null and "b/\320\2403212/zinchenko_408657/lab4/report.pdf" differ diff --git "a/\320\2403212/zinchenko_408657/lab5/README.md" "b/\320\2403212/zinchenko_408657/lab5/README.md" deleted file mode 100644 index ed3b3d4..0000000 --- "a/\320\2403212/zinchenko_408657/lab5/README.md" +++ /dev/null @@ -1 +0,0 @@ -Лабораторная работа 5 diff --git "a/\320\2403212/zinchenko_408657/lab5/code/.gitignore" "b/\320\2403212/zinchenko_408657/lab5/code/.gitignore" new file mode 100644 index 0000000..38d7344 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/.gitignore" @@ -0,0 +1,13 @@ +# Local +.DS_Store +*.local +*.log* + +# Dist +node_modules +dist/ + +# IDE +.vscode/* +!.vscode/extensions.json +.idea diff --git "a/\320\2403212/zinchenko_408657/lab5/code/README.md" "b/\320\2403212/zinchenko_408657/lab5/code/README.md" new file mode 100644 index 0000000..5fc0306 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/README.md" @@ -0,0 +1,29 @@ +# Rsbuild project + +## Setup + +Install the dependencies: + +```bash +pnpm install +``` + +## Get started + +Start the dev server: + +```bash +pnpm dev +``` + +Build the app for production: + +```bash +pnpm build +``` + +Preview the production build locally: + +```bash +pnpm preview +``` diff --git "a/\320\2403212/zinchenko_408657/lab5/code/jest.config.js" "b/\320\2403212/zinchenko_408657/lab5/code/jest.config.js" new file mode 100644 index 0000000..031eabf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/jest.config.js" @@ -0,0 +1,11 @@ +import { createDefaultPreset } from 'ts-jest' + +const tsJestTransformCfg = createDefaultPreset().transform + +/** @type {import("jest").Config} **/ +export default { + testEnvironment: "node", + transform: { + ...tsJestTransformCfg, + }, +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/package.json" "b/\320\2403212/zinchenko_408657/lab5/code/package.json" new file mode 100644 index 0000000..ed5ddec --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/package.json" @@ -0,0 +1,34 @@ +{ + "name": "rsbuild-react-ts", + "version": "1.0.0", + "private": true, + "type": "module", + "scripts": { + "build": "rsbuild build", + "dev": "rsbuild dev --open", + "preview": "rsbuild preview", + "test": "jest" + }, + "dependencies": { + "@chakra-ui/react": "^3.19.0", + "chart.js": "^4.4.9", + "dayjs": "^1.11.13", + "next-themes": "^0.4.6", + "react": "^19.1.0", + "react-chartjs-2": "^5.3.0", + "react-dom": "^19.1.0", + "react-hook-form": "^7.56.3", + "react-icons": "^5.5.0", + "uuid": "^11.1.0" + }, + "devDependencies": { + "@jest/globals": "^29.7.0", + "@rsbuild/core": "^1.3.15", + "@rsbuild/plugin-react": "^1.3.0", + "@types/react": "^19.1.2", + "@types/react-dom": "^19.1.3", + "jest": "^29.7.0", + "ts-jest": "^29.3.3", + "typescript": "^5.8.3" + } +} diff --git "a/\320\2403212/zinchenko_408657/lab5/code/pnpm-lock.yaml" "b/\320\2403212/zinchenko_408657/lab5/code/pnpm-lock.yaml" new file mode 100644 index 0000000..d2c6c38 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/pnpm-lock.yaml" @@ -0,0 +1,4044 @@ +lockfileVersion: '9.0' + +settings: + autoInstallPeers: true + excludeLinksFromLockfile: false + +importers: + + .: + dependencies: + '@chakra-ui/react': + specifier: ^3.19.0 + version: 3.19.2(@emotion/react@11.14.0(@types/react@19.1.6)(react@19.1.0))(react-dom@19.1.0(react@19.1.0))(react@19.1.0) + chart.js: + specifier: ^4.4.9 + version: 4.4.9 + dayjs: + specifier: ^1.11.13 + version: 1.11.13 + next-themes: + specifier: ^0.4.6 + version: 0.4.6(react-dom@19.1.0(react@19.1.0))(react@19.1.0) + react: + specifier: ^19.1.0 + version: 19.1.0 + react-chartjs-2: + specifier: ^5.3.0 + version: 5.3.0(chart.js@4.4.9)(react@19.1.0) + react-dom: + specifier: ^19.1.0 + version: 19.1.0(react@19.1.0) + react-hook-form: + specifier: ^7.56.3 + version: 7.57.0(react@19.1.0) + react-icons: + specifier: ^5.5.0 + version: 5.5.0(react@19.1.0) + uuid: + specifier: ^11.1.0 + version: 11.1.0 + devDependencies: + '@jest/globals': + specifier: ^29.7.0 + version: 29.7.0 + '@rsbuild/core': + specifier: ^1.3.15 + version: 1.3.22 + '@rsbuild/plugin-react': + specifier: ^1.3.0 + version: 1.3.2(@rsbuild/core@1.3.22) + '@types/react': + specifier: 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scheduler@0.26.0: {} + + semver@6.3.1: {} + + semver@7.7.2: {} + + shebang-command@2.0.0: + dependencies: + shebang-regex: 3.0.0 + + shebang-regex@3.0.0: {} + + signal-exit@3.0.7: {} + + sisteransi@1.0.5: {} + + slash@3.0.0: {} + + source-map-support@0.5.13: + dependencies: + buffer-from: 1.1.2 + source-map: 0.6.1 + + source-map@0.5.7: {} + + source-map@0.6.1: {} + + sprintf-js@1.0.3: {} + + stack-utils@2.0.6: + dependencies: + escape-string-regexp: 2.0.0 + + stackframe@1.3.4: {} + + string-length@4.0.2: + dependencies: + char-regex: 1.0.2 + strip-ansi: 6.0.1 + + string-width@4.2.3: + dependencies: + emoji-regex: 8.0.0 + is-fullwidth-code-point: 3.0.0 + strip-ansi: 6.0.1 + + strip-ansi@6.0.1: + dependencies: + ansi-regex: 5.0.1 + + strip-bom@4.0.0: {} + + strip-final-newline@2.0.0: {} + + strip-json-comments@3.1.1: {} + + stylis@4.2.0: {} + + supports-color@7.2.0: + dependencies: + has-flag: 4.0.0 + + supports-color@8.1.1: + dependencies: + has-flag: 4.0.0 + + supports-preserve-symlinks-flag@1.0.0: {} + + test-exclude@6.0.0: + dependencies: + '@istanbuljs/schema': 0.1.3 + glob: 7.2.3 + minimatch: 3.1.2 + + tmpl@1.0.5: {} + + to-regex-range@5.0.1: + dependencies: + is-number: 7.0.0 + + ts-jest@29.3.4(@babel/core@7.27.4)(@jest/transform@29.7.0)(@jest/types@29.6.3)(babel-jest@29.7.0(@babel/core@7.27.4))(jest@29.7.0(@types/node@22.15.30)(babel-plugin-macros@3.1.0))(typescript@5.8.3): + dependencies: + bs-logger: 0.2.6 + ejs: 3.1.10 + fast-json-stable-stringify: 2.1.0 + jest: 29.7.0(@types/node@22.15.30)(babel-plugin-macros@3.1.0) + jest-util: 29.7.0 + json5: 2.2.3 + lodash.memoize: 4.1.2 + make-error: 1.3.6 + semver: 7.7.2 + type-fest: 4.41.0 + typescript: 5.8.3 + yargs-parser: 21.1.1 + optionalDependencies: + '@babel/core': 7.27.4 + '@jest/transform': 29.7.0 + '@jest/types': 29.6.3 + babel-jest: 29.7.0(@babel/core@7.27.4) + + tslib@2.8.1: {} + + type-detect@4.0.8: {} + + type-fest@0.21.3: {} + + type-fest@4.41.0: {} + + typescript@5.8.3: {} + + undici-types@6.21.0: {} + + update-browserslist-db@1.1.3(browserslist@4.25.0): + dependencies: + browserslist: 4.25.0 + escalade: 3.2.0 + picocolors: 1.1.1 + + uqr@0.1.2: {} + + uuid@11.1.0: {} + + v8-to-istanbul@9.3.0: + dependencies: + '@jridgewell/trace-mapping': 0.3.25 + '@types/istanbul-lib-coverage': 2.0.6 + convert-source-map: 2.0.0 + + walker@1.0.8: + dependencies: + makeerror: 1.0.12 + + which@2.0.2: + dependencies: + isexe: 2.0.0 + + wrap-ansi@7.0.0: + dependencies: + ansi-styles: 4.3.0 + string-width: 4.2.3 + strip-ansi: 6.0.1 + + wrappy@1.0.2: {} + + write-file-atomic@4.0.2: + dependencies: + imurmurhash: 0.1.4 + signal-exit: 3.0.7 + + y18n@5.0.8: {} + + yallist@3.1.1: {} + + yaml@1.10.2: {} + + yargs-parser@21.1.1: {} + + yargs@17.7.2: + dependencies: + cliui: 8.0.1 + escalade: 3.2.0 + get-caller-file: 2.0.5 + require-directory: 2.1.1 + string-width: 4.2.3 + y18n: 5.0.8 + yargs-parser: 21.1.1 + + yocto-queue@0.1.0: {} diff --git "a/\320\2403212/zinchenko_408657/lab5/code/rsbuild.config.ts" "b/\320\2403212/zinchenko_408657/lab5/code/rsbuild.config.ts" new file mode 100644 index 0000000..31ba722 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/rsbuild.config.ts" @@ -0,0 +1,9 @@ +import { defineConfig } from '@rsbuild/core'; +import { pluginReact } from '@rsbuild/plugin-react'; + +export default defineConfig({ + plugins: [pluginReact()], + html: { + title: 'Лаб. 5' + } +}); diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/App.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/App.tsx" new file mode 100644 index 0000000..65d6217 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/App.tsx" @@ -0,0 +1,307 @@ +import { + Box, + Card, + Heading, + HStack, + Stack, + VStack, + Text, +} from "@chakra-ui/react"; +import { Provider } from "./components/ui/provider"; +import { useState, useMemo } from "react"; +import Chart from "./components/chart"; +import PointsTable, { Point } from "./components/PointsTable"; +import FunctionSelector from "./components/FunctionSelector"; +import DifferencesTable from "./components/DifferencesTable"; +import InterpolationResults from "./components/InterpolationResults"; +import { + finiteDifferences, + lagrangePolynomial, + gaussInterpolation, + predefinedFunctions, + newtonInterpolation +} from "./math/interpolation"; + +const App = () => { + const [points, setPoints] = useState([ + { x: 1, y: 2 }, + { x: 2, y: 4 }, + { x: 3, y: 6 }, + { x: 4, y: 8 }, + { x: 5, y: 10 }, + { x: 6, y: 12 }, + { x: 7, y: 14 }, + { x: 8, y: 16 }, + ]); + + const [inputMethod, setInputMethod] = useState<'table' | 'function'>('table'); + const [selectedFunction, setSelectedFunction] = useState(null); + + const [visibility, setVisibility] = useState({ + points: true, + original: true, + lagrange: true, + newton: true, + gauss: true, + }); + + const [errors, setErrors] = useState<{ + lagrange: string | null; + newton: string | null; + gauss: string | null; + }>({ + lagrange: null, + newton: null, + gauss: null + }); + + const interpolationPoints = useMemo(() => { + if (points.length === 0) return { + lagrange: [], + newton: [], + gauss: [] + }; + + const minX = Math.min(...points.map(p => p.x)); + const maxX = Math.max(...points.map(p => p.x)); + const step = (maxX - minX) / 100; + + const result = { + lagrange: [] as Point[], + newton: [] as Point[], + gauss: [] as Point[] + }; + + setErrors({ + lagrange: null, + newton: null, + gauss: null + }); + + for (let x = minX; x <= maxX; x += step) { + try { + result.lagrange.push({ + x, + y: lagrangePolynomial(points, x) + }); + } catch (error) { + setErrors(prev => ({ + ...prev, + lagrange: (error as Error).message + })); + } + + try { + result.newton.push({ + x, + y: newtonInterpolation(points, x) + }); + } catch (error) { + setErrors(prev => ({ + ...prev, + newton: (error as Error).message + })); + } + + try { + result.gauss.push({ + x, + y: gaussInterpolation(points, x) + }); + } catch (error) { + setErrors(prev => ({ + ...prev, + gauss: (error as Error).message + })); + } + } + + return result; + }, [points]); + + const originalPoints = useMemo(() => { + if (!selectedFunction || points.length === 0) return undefined; + + const minX = Math.min(...points.map(p => p.x)); + const maxX = Math.max(...points.map(p => p.x)); + const step = (maxX - minX) / 100; + const result: Point[] = []; + + const func = predefinedFunctions[selectedFunction].func; + for (let x = minX; x <= maxX; x += step) { + result.push({ + x, + y: func(x) + }); + } + + return result; + }, [selectedFunction, points]); + + const handleInputMethodChange = (method: 'table' | 'function') => { + setInputMethod(method); + if (method !== 'function') { + setSelectedFunction(null); + } + }; + + const toggleVisibility = (key: keyof typeof visibility) => { + setVisibility(prev => ({ + ...prev, + [key]: !prev[key] + })); + }; + + return ( + + + + + + + Интерполяция функций + + + handleInputMethodChange('table')} + > + Таблица + + handleInputMethodChange('function')} + > + Функция + + + + + {inputMethod === 'table' && ( + + )} + {inputMethod === 'function' && ( + + )} + + + + + + + + + + + + + + + + + + + + + + + Отображение графиков + + + Узлы интерполяции + toggleVisibility('points')} + /> + + {selectedFunction && ( + + Исходная функция + toggleVisibility('original')} + /> + + )} + + + Многочлен Лагранжа + {errors.lagrange && ( + {errors.lagrange} + )} + + toggleVisibility('lagrange')} + /> + + + + Многочлен Ньютона + {errors.newton && ( + {errors.newton} + )} + + toggleVisibility('newton')} + /> + + + + Многочлен Гаусса + {errors.gauss && ( + {errors.gauss} + )} + + toggleVisibility('gauss')} + /> + + + + + + + + + + + + + + + + ); +}; + +export default App; diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/DifferencesTable.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/DifferencesTable.tsx" new file mode 100644 index 0000000..42ae58e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/DifferencesTable.tsx" @@ -0,0 +1,54 @@ +import { + Heading, + Table, + Text, + VStack, +} from "@chakra-ui/react"; +import { Point } from "../math/interpolation"; + +interface DifferencesTableProps { + points: Point[]; + differences: number[][]; +} + +const DifferencesTable = ({ points, differences }: DifferencesTableProps) => { + const maxDifferences = differences.length; + + return ( + + Таблица конечных разностей + + + + x + y + {Array.from({ length: maxDifferences - 1 }, (_, i) => ( + Δ{i + 1} + ))} + + + + {points.map((point, rowIndex) => ( + + {point.x.toFixed(4)} + {point.y.toFixed(4)} + {Array.from({ length: maxDifferences - 1 }, (_, colIndex) => { + if (rowIndex >= points.length - colIndex - 1) { + return —; + } + const diff = differences[colIndex + 1][rowIndex]; + return ( + + {diff.toFixed(4)} + + ); + })} + + ))} + + + + ); +}; + +export default DifferencesTable; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/FunctionSelector.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/FunctionSelector.tsx" new file mode 100644 index 0000000..2a42050 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/FunctionSelector.tsx" @@ -0,0 +1,134 @@ +import { + Button, + Box, + HStack, + Input, + VStack, + Text, +} from "@chakra-ui/react"; +import { predefinedFunctions } from "../math/interpolation"; +import { Point } from "../math/interpolation"; +import { useState, ChangeEvent } from "react"; +import { isValidNumber, parseNumber } from "../utils/validation"; + +interface FunctionSelectorProps { + onGenerate: (points: Point[]) => void; + onFunctionSelect: (func: keyof typeof predefinedFunctions | null) => void; +} + +const FunctionSelector = ({ onGenerate, onFunctionSelect }: FunctionSelectorProps) => { + const [selectedFunction, setSelectedFunction] = useState("sin"); + const [start, setStart] = useState("0"); + const [end, setEnd] = useState(Math.PI.toString()); + const [pointsCount, setPointsCount] = useState("8"); + const [error, setError] = useState(null); + + const validateAndGenerate = () => { + const startNum = parseNumber(start); + const endNum = parseNumber(end); + const countNum = parseNumber(pointsCount); + + if (startNum === null || endNum === null || countNum === null) { + setError("Пожалуйста, введите корректные числовые значения"); + return; + } + + if (!Number.isInteger(countNum) || countNum < 2) { + setError("Количество точек должно быть целым числом не меньше 2"); + return; + } + + if (startNum >= endNum) { + setError("Начало интервала должно быть меньше конца"); + return; + } + + setError(null); + const func = predefinedFunctions[selectedFunction].func; + const step = (endNum - startNum) / (countNum - 1); + const points: Point[] = []; + + for (let i = 0; i < countNum; i++) { + const x = startNum + i * step; + points.push({ + x, + y: func(x) + }); + } + + onFunctionSelect(selectedFunction); + onGenerate(points); + }; + + const handleInputChange = (value: string, setter: (value: string) => void) => { + if (isValidNumber(value)) { + setter(value); + setError(null); + } + }; + + return ( + + + Функция + + + + + + Начало интервала + ) => + handleInputChange(e.target.value, setStart) + } + /> + + + + Конец интервала + ) => + handleInputChange(e.target.value, setEnd) + } + /> + + + + + Количество точек (минимум 2) + ) => + handleInputChange(e.target.value, setPointsCount) + } + /> + + + {error && ( + + {error} + + )} + + + + ); +}; + +export default FunctionSelector; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/InterpolationResults.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/InterpolationResults.tsx" new file mode 100644 index 0000000..3847357 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/InterpolationResults.tsx" @@ -0,0 +1,174 @@ +import { + Box, + Button, + Input, + Table, + Text, + VStack, +} from "@chakra-ui/react"; +import { newtonGeneralInterpolation, Point } from "../math/interpolation"; +import { ChangeEvent, useState } from "react"; +import { + lagrangePolynomial, + gaussInterpolation, +} from "../math/interpolation"; +import { isValidNumber, parseNumber } from "../utils/validation"; + +interface InterpolationResultsProps { + points: Point[]; +} + +const InterpolationResults = ({ points }: InterpolationResultsProps) => { + const [x, setX] = useState("0"); + const [inputError, setInputError] = useState(null); + const [methodErrors, setMethodErrors] = useState<{ + lagrange: string | null; + newton: string | null; + gauss: string | null; + }>({ + lagrange: null, + newton: null, + gauss: null + }); + const [results, setResults] = useState<{ + lagrange: number | null; + newton: number | null; + gauss: number | null; + } | null>(null); + + const handleCalculate = () => { + const xNum = parseNumber(x); + if (xNum === null) { + setInputError("Пожалуйста, введите корректное числовое значение"); + return; + } + + if (points.length < 2) { + setInputError("Необходимо задать как минимум 2 точки для интерполяции"); + return; + } + + setInputError(null); + setMethodErrors({ + lagrange: null, + newton: null, + gauss: null + }); + + const newResults = { + lagrange: null as number | null, + newton: null as number | null, + gauss: null as number | null + }; + + try { + newResults.lagrange = lagrangePolynomial(points, xNum); + } catch (error) { + setMethodErrors(prev => ({ + ...prev, + lagrange: (error as Error).message + })); + } + + try { + newResults.newton = newtonGeneralInterpolation(points, xNum); + } catch (error) { + setMethodErrors(prev => ({ + ...prev, + newton: (error as Error).message + })); + } + + try { + newResults.gauss = gaussInterpolation(points, xNum); + } catch (error) { + setMethodErrors(prev => ({ + ...prev, + gauss: (error as Error).message + })); + } + + setResults(newResults); + }; + + const handleInputChange = (value: string) => { + if (isValidNumber(value)) { + setX(value); + setInputError(null); + } + }; + + return ( + + Интерполяция в точке + + + Значение X + ) => handleInputChange(e.target.value)} + _invalid={{ borderColor: 'red.500' }} + aria-invalid={!!inputError} + /> + + + {inputError && ( + + {inputError} + + )} + + + + {results && ( + + + + Метод + Значение + + + + + + + Многочлен Лагранжа + {methodErrors.lagrange && ( + {methodErrors.lagrange} + )} + + + {results.lagrange?.toFixed(6) ?? '—'} + + + + + Многочлен Ньютона + {methodErrors.newton && ( + {methodErrors.newton} + )} + + + {results.newton?.toFixed(6) ?? '—'} + + + + + Интерполяция Гаусса + {methodErrors.gauss && ( + {methodErrors.gauss} + )} + + + {results.gauss?.toFixed(6) ?? '—'} + + + + )} + + ); +}; + +export default InterpolationResults; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/PointsTable.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/PointsTable.tsx" new file mode 100644 index 0000000..3170a97 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/PointsTable.tsx" @@ -0,0 +1,181 @@ +import { + Button, + HStack, + Input, + Table, + Text, + VStack, +} from "@chakra-ui/react"; +import { ChangeEvent, useRef, useState } from "react"; +import { isValidNumber, parseNumber } from "../utils/validation"; + +export interface Point { + x: number; + y: number; +} + +interface PointsTableProps { + points: Point[]; + onChange: (points: Point[]) => void; +} + +interface PointInput { + x: string; + y: string; +} + +const PointsTable = ({ points, onChange }: PointsTableProps) => { + const [inputPoints, setInputPoints] = useState( + points.map(p => ({ x: p.x.toString(), y: p.y.toString() })) + ); + const [error, setError] = useState(null); + + const handlePointChange = (index: number, axis: 'x' | 'y', value: string) => { + if (!isValidNumber(value)) return; + + const newInputPoints = [...inputPoints]; + newInputPoints[index] = { + ...newInputPoints[index], + [axis]: value + }; + setInputPoints(newInputPoints); + setError(null); + + const validPoints = newInputPoints.map(p => ({ + x: parseNumber(p.x), + y: parseNumber(p.y) + })); + + if (validPoints.every(p => p.x !== null && p.y !== null)) { + onChange(validPoints.map(p => ({ x: p.x!, y: p.y! }))); + } + }; + + const addPoint = () => { + setInputPoints([...inputPoints, { x: "0", y: "0" }]); + }; + + const removePoint = () => { + if (inputPoints.length <= 1) return; + setInputPoints(inputPoints.slice(0, -1)); + }; + + const handleFileChange = (e: ChangeEvent) => { + const file = e.target.files?.[0]; + if (!file) return; + + const reader = new FileReader(); + reader.onload = (event) => { + const text = event.target?.result as string; + const lines = text.split('\n') + .map(line => line.trim()) + .filter(line => line.length > 0); + + try { + const newPoints: PointInput[] = lines.map(line => { + const [x, y] = line.split(','); + if (!isValidNumber(x) || !isValidNumber(y)) { + throw new Error("Некорректный формат данных"); + } + return { x, y }; + }); + + const validPoints = newPoints.map(p => ({ + x: parseNumber(p.x), + y: parseNumber(p.y) + })); + + if (validPoints.every(p => p.x !== null && p.y !== null)) { + setInputPoints(newPoints); + onChange(validPoints.map(p => ({ x: p.x!, y: p.y! }))); + setError(null); + } else { + setError("Некорректные числовые значения в файле"); + } + } catch (err) { + setError("Ошибка при чтении файла"); + } + }; + reader.readAsText(file); + }; + + const downloadRef = useRef(null); + + return ( + + + Точки ({inputPoints.length}) + + + + + + + + + {error && ( + + {error} + + )} + + + + + № + X + Y + + + + {inputPoints.map((point, index) => ( + + {index + 1} + + handlePointChange(index, 'x', e.target.value)} + /> + + + handlePointChange(index, 'y', e.target.value)} + /> + + + ))} + + + + ); +}; + +export default PointsTable; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/chart.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/chart.tsx" new file mode 100644 index 0000000..aa029af --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/chart.tsx" @@ -0,0 +1,187 @@ +import { + Chart as ChartJS, + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend, +} from 'chart.js'; +import { Line } from 'react-chartjs-2'; + +ChartJS.register( + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend +); + +const PADDING_FACTOR = 0.1; + +export const options = { + responsive: true, + maintainAspectRatio: false, + plugins: { + legend: { + display: true, + position: 'top' as const, + }, + title: { + display: true, + text: '', + } + }, + scales: { + x: { + type: 'linear' as const, + display: true, + title: { + display: true, + text: 'X' + } + }, + y: { + display: true, + title: { + display: true, + text: 'Y' + } + } + } +}; + +const COLORS = { + points: { border: 'rgb(53, 162, 235)', background: 'rgba(53, 162, 235, 0.5)' }, + original: { border: 'rgb(75, 192, 192)', background: 'rgba(75, 192, 192, 0.5)' }, + lagrange: { border: 'rgb(255, 99, 132)', background: 'rgba(255, 99, 132, 0.5)' }, + newton: { border: 'rgb(255, 159, 64)', background: 'rgba(255, 159, 64, 0.5)' }, + gauss: { border: 'rgb(153, 102, 255)', background: 'rgba(153, 102, 255, 0.5)' }, +}; + +export interface ChartProps { + title: string; + points: Array<{ x: number; y: number }>; + interpolationPoints: { + lagrange: Array<{ x: number; y: number }>; + newton: Array<{ x: number; y: number }>; + gauss: Array<{ x: number; y: number }>; + }; + originalPoints?: Array<{ x: number; y: number }>; + visibility: { + points: boolean; + original: boolean; + lagrange: boolean; + newton: boolean; + gauss: boolean; + }; +} + +const Chart = (props: ChartProps) => { + const datasets = []; + + if (props.visibility.points) { + datasets.push({ + label: 'Узлы интерполяции', + data: props.points, + borderColor: COLORS.points.border, + backgroundColor: COLORS.points.background, + pointRadius: 5, + showLine: false, + }); + } + + if (props.visibility.lagrange) { + datasets.push({ + label: 'Многочлен Лагранжа', + data: props.interpolationPoints.lagrange, + borderColor: COLORS.lagrange.border, + backgroundColor: COLORS.lagrange.background, + pointRadius: 0, + borderWidth: 2, + }); + } + + if (props.visibility.newton) { + datasets.push({ + label: 'Многочлен Ньютона', + data: props.interpolationPoints.newton, + borderColor: COLORS.newton.border, + backgroundColor: COLORS.newton.background, + pointRadius: 0, + borderWidth: 2, + }); + } + + if (props.visibility.gauss) { + datasets.push({ + label: 'Многочлен Гаусса', + data: props.interpolationPoints.gauss, + borderColor: COLORS.gauss.border, + backgroundColor: COLORS.gauss.background, + pointRadius: 0, + borderWidth: 2, + }); + } + + if (props.originalPoints && props.visibility.original) { + datasets.unshift({ + label: 'Исходная функция', + data: props.originalPoints, + borderColor: COLORS.original.border, + backgroundColor: COLORS.original.background, + pointRadius: 0, + borderWidth: 2, + }); + } + + let minY = Infinity; + let maxY = -Infinity; + + if (props.originalPoints) { + props.originalPoints.forEach(point => { + minY = Math.min(minY, point.y); + maxY = Math.max(maxY, point.y); + }); + } else { + props.points.forEach(point => { + minY = Math.min(minY, point.y); + maxY = Math.max(maxY, point.y); + }); + } + + const padding = (maxY - minY) * PADDING_FACTOR; + minY -= padding; + maxY += padding; + + return ( + + ); +}; + +export default Chart; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/color-mode.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/color-mode.tsx" new file mode 100644 index 0000000..f93feab --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/color-mode.tsx" @@ -0,0 +1,107 @@ +"use client" + +import type { IconButtonProps, SpanProps } from "@chakra-ui/react" +import { ClientOnly, IconButton, Skeleton, Span } from "@chakra-ui/react" +import { ThemeProvider, useTheme } from "next-themes" +import type { ThemeProviderProps } from "next-themes" +import * as React from "react" +import { LuMoon, LuSun } from "react-icons/lu" + +export interface ColorModeProviderProps extends ThemeProviderProps {} + +export function ColorModeProvider(props: ColorModeProviderProps) { + return ( + + ) +} + +export type ColorMode = "light" | "dark" + +export interface UseColorModeReturn { + colorMode: ColorMode + setColorMode: (colorMode: ColorMode) => void + toggleColorMode: () => void +} + +export function useColorMode(): UseColorModeReturn { + const { resolvedTheme, setTheme } = useTheme() + const toggleColorMode = () => { + setTheme(resolvedTheme === "dark" ? "light" : "dark") + } + return { + colorMode: resolvedTheme as ColorMode, + setColorMode: setTheme, + toggleColorMode, + } +} + +export function useColorModeValue(light: T, dark: T) { + const { colorMode } = useColorMode() + return colorMode === "dark" ? dark : light +} + +export function ColorModeIcon() { + const { colorMode } = useColorMode() + return colorMode === "dark" ? : +} + +interface ColorModeButtonProps extends Omit {} + +export const ColorModeButton = React.forwardRef< + HTMLButtonElement, + ColorModeButtonProps +>(function ColorModeButton(props, ref) { + const { toggleColorMode } = useColorMode() + return ( + }> + + + + + ) +}) + +export const LightMode = React.forwardRef( + function LightMode(props, ref) { + return ( + + ) + }, +) + +export const DarkMode = React.forwardRef( + function DarkMode(props, ref) { + return ( + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/provider.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/provider.tsx" new file mode 100644 index 0000000..fd0331b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/provider.tsx" @@ -0,0 +1,15 @@ +"use client" + +import { ChakraProvider, defaultSystem } from "@chakra-ui/react" +import { + ColorModeProvider, + type ColorModeProviderProps, +} from "./color-mode" + +export function Provider(props: ColorModeProviderProps) { + return ( + + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/toaster.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/toaster.tsx" new file mode 100644 index 0000000..df6c2c3 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/toaster.tsx" @@ -0,0 +1,43 @@ +"use client" + +import { + Toaster as ChakraToaster, + Portal, + Spinner, + Stack, + Toast, + createToaster, +} from "@chakra-ui/react" + +export const toaster = createToaster({ + placement: "bottom-end", + pauseOnPageIdle: true, +}) + +export const Toaster = () => { + return ( + + + {(toast) => ( + + {toast.type === "loading" ? ( + + ) : ( + + )} + + {toast.title && {toast.title}} + {toast.description && ( + {toast.description} + )} + + {toast.action && ( + {toast.action.label} + )} + {toast.meta?.closable && } + + )} + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/tooltip.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/tooltip.tsx" new file mode 100644 index 0000000..43a8a6c --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/components/ui/tooltip.tsx" @@ -0,0 +1,46 @@ +import { Tooltip as ChakraTooltip, Portal } from "@chakra-ui/react" +import * as React from "react" + +export interface TooltipProps extends ChakraTooltip.RootProps { + showArrow?: boolean + portalled?: boolean + portalRef?: React.RefObject + content: React.ReactNode + contentProps?: ChakraTooltip.ContentProps + disabled?: boolean +} + +export const Tooltip = React.forwardRef( + function Tooltip(props, ref) { + const { + showArrow, + children, + disabled, + portalled = true, + content, + contentProps, + portalRef, + ...rest + } = props + + if (disabled) return children + + return ( + + {children} + + + + {showArrow && ( + + + + )} + {content} + + + + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/env.d.ts" "b/\320\2403212/zinchenko_408657/lab5/code/src/env.d.ts" new file mode 100644 index 0000000..b0ac762 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/env.d.ts" @@ -0,0 +1 @@ +/// diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/index.tsx" "b/\320\2403212/zinchenko_408657/lab5/code/src/index.tsx" new file mode 100644 index 0000000..55f29bf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/index.tsx" @@ -0,0 +1,13 @@ +import React from 'react'; +import ReactDOM from 'react-dom/client'; +import App from './App'; + +const rootEl = document.getElementById('root'); +if (rootEl) { + const root = ReactDOM.createRoot(rootEl); + root.render( + + + , + ); +} diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/math/interpolation.ts" "b/\320\2403212/zinchenko_408657/lab5/code/src/math/interpolation.ts" new file mode 100644 index 0000000..832d43e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/math/interpolation.ts" @@ -0,0 +1,324 @@ +export interface Point { + x: number; + y: number; +} + +function validatePoints(points: Point[], minPoints: number = 2): void { + if (!Array.isArray(points)) { + throw new Error('Ожидается массив точек'); + } + if (points.length < minPoints) { + throw new Error(`Требуется как минимум ${minPoints} точек для интерполяции`); + } + if (points.some(p => typeof p.x !== 'number' || typeof p.y !== 'number' || isNaN(p.x) || isNaN(p.y))) { + throw new Error('Все координаты точек должны быть числами'); + } + + const xValues = points.map(p => p.x); + if (new Set(xValues).size !== points.length) { + throw new Error('Все x-координаты должны быть различны'); + } +} + +export function lagrangePolynomial(points: Point[], x: number): number { + validatePoints(points); + if (typeof x !== 'number' || isNaN(x)) { + throw new Error('Значение x должно быть числом'); + } + + const n = points.length; + let result = 0; + for (let i = 0; i < n; i++) { + let term = points[i].y; + for (let j = 0; j < n; j++) { + if (j !== i) { + const denominator = points[i].x - points[j].x; + if (Math.abs(denominator) < 1e-10) { + throw new Error('Деление на ноль при вычислении многочлена Лагранжа'); + } + term *= (x - points[j].x) / denominator; + } + } + result += term; + } + return result; +} + +export function finiteDifferences(points: Point[]): number[][] { + validatePoints(points); + const pts = [...points].sort((a, b) => a.x - b.x); + const n = pts.length; + + const h = pts[1].x - pts[0].x; + for (let i = 2; i < n; i++) { + if (Math.abs((pts[i].x - pts[i - 1].x) - h) > 1e-8) { + throw new Error('Узлы должны быть равноотстоящими для вычисления конечных разностей'); + } + } + + const diffs: number[][] = Array.from({ length: n }, () => Array(n).fill(0)); + + for (let i = 0; i < n; i++) { + diffs[0][i] = pts[i].y; + } + + for (let k = 1; k < n; k++) { + for (let i = 0; i < n - k; i++) { + diffs[k][i] = diffs[0][i + k] - diffs[0][i]; + + if (k > 1) { + diffs[k][i] = diffs[k - 1][i + 1] - diffs[k - 1][i]; + } + } + } + + return diffs; +} + +export function newtonForwardInterpolation( + points: Point[], + x: number +): number { + const n = points.length; + if (n === 0) { + throw new Error('Нет точек для интерполяции'); + } + if (n === 1) { + return points[0].y; + } + const pts = [...points].sort((a, b) => a.x - b.x); + const h = pts[1].x - pts[0].x; + for (let i = 2; i < n; i++) { + if (Math.abs((pts[i].x - pts[i - 1].x) - h) > 1e-8) { + throw new Error('Узлы не равноотстоящие, используйте общий многочлен Ньютона'); + } + } + const x0 = pts[0].x; + const t = (x - x0) / h; + const diffs = finiteDifferences(pts); + + let result = diffs[0][0]; + let tTerm = 1; + for (let k = 1; k < n; k++) { + tTerm *= (t - (k - 1)); + const deltaY = diffs[k][0]; + result += (tTerm / factorial(k)) * deltaY; + } + return result; +} + +export function newtonBackwardInterpolation( + points: Point[], + x: number +): number { + const n = points.length; + if (n === 0) { + throw new Error('Нет точек для интерполяции'); + } + if (n === 1) { + return points[0].y; + } + const pts = [...points].sort((a, b) => a.x - b.x); + const h = pts[1].x - pts[0].x; + for (let i = 2; i < n; i++) { + if (Math.abs((pts[i].x - pts[i - 1].x) - h) > 1e-8) { + throw new Error('Узлы не равноотстоящие, используйте общий многочлен Ньютона'); + } + } + const xn = pts[n - 1].x; + const t = (x - xn) / h; + const diffs = finiteDifferences(pts); + let result = diffs[0][n - 1]; + let tTerm = 1; + for (let k = 1; k < n; k++) { + tTerm *= (t + (k - 1)); + const deltaY = diffs[k][n - 1 - (k)]; + result += (tTerm / factorial(k)) * deltaY; + } + return result; +} + +export function newtonGeneralInterpolation( + points: Point[], + x: number +): number { + validatePoints(points); + if (typeof x !== 'number' || isNaN(x)) { + throw new Error('Значение x должно быть числом'); + } + + const n = points.length; + const pts = [...points].sort((a, b) => a.x - b.x); + + const divDiff: number[][] = Array.from({ length: n }, () => Array(n).fill(0)); + + for (let i = 0; i < n; i++) { + divDiff[i][0] = pts[i].y; + } + + for (let j = 1; j < n; j++) { + for (let i = 0; i < n - j; i++) { + const numerator = divDiff[i + 1][j - 1] - divDiff[i][j - 1]; + const denominator = pts[i + j].x - pts[i].x; + if (Math.abs(denominator) < 1e-10) { + throw new Error('Деление на ноль при вычислении разделенных разностей'); + } + divDiff[i][j] = numerator / denominator; + } + } + + let result = divDiff[0][0]; + let term = 1; + for (let k = 1; k < n; k++) { + term *= x - pts[k - 1].x; + result += divDiff[0][k] * term; + } + return result; +} + + +export function newtonInterpolation(points: Point[], x: number): number { + validatePoints(points); + if (typeof x !== 'number' || isNaN(x)) { + throw new Error('Значение x должно быть числом'); + } + + const n = points.length; + if (n === 0) { + throw new Error('Нет точек для интерполяции'); + } + if (n === 1) { + return points[0].y; + } + + const pts = [...points].sort((a, b) => a.x - b.x); + + const h = pts[1].x - pts[0].x; + let isEquidistant = true; + for (let i = 2; i < n; i++) { + if (Math.abs((pts[i].x - pts[i - 1].x) - h) > 1e-8) { + isEquidistant = false; + break; + } + } + + if (!isEquidistant) { + return newtonGeneralInterpolation(pts, x); + } + + const xMin = pts[0].x; + const xMax = pts[n - 1].x; + const xMid = (xMin + xMax) / 2; + + if (x <= xMid) { + return newtonForwardInterpolation(pts, x); + } else { + return newtonBackwardInterpolation(pts, x); + } +} + +export function gaussInterpolation(points: Point[], x: number): number { + const n = points.length; + if (n < 1) { + return 0; + } else if (n === 1) { + return points[0].y; + } + + const pts = [...points].sort((a, b) => a.x - b.x); + const h = pts[1].x - pts[0].x; + for (let i = 2; i < n; i++) { + if (Math.abs((pts[i].x - pts[i - 1].x) - h) > 1e-8) { + throw new Error('Узлы должны быть равноотстоящими для формулы Гаусса'); + } + } + + const i0 = Math.floor((n - 1) / 2); + const x0 = pts[i0].x; + const y0 = pts[i0].y; + + const t = (x - x0) / h; + + const diffs = finiteDifferences(pts); + + let result = y0; + + if (x >= x0) { + for (let k = 1; k < n; k++) { + const m = Math.floor(k / 2); + let numerator = 1; + + if (k % 2 === 1) { + for (let j = -m; j <= m; j++) { + numerator *= (t + j); + } + const diffIndex = i0 - m; + if (diffIndex < 0 || diffIndex >= diffs[k].length) { + break; + } + result += (numerator / factorial(k)) * diffs[k][diffIndex]; + } else { + for (let j = - (m - 1); j <= m; j++) { + numerator *= (t + j); + } + const diffIndex = i0 - m; + if (diffIndex < 0 || diffIndex >= diffs[k].length) { + break; + } + result += (numerator / factorial(k)) * diffs[k][diffIndex]; + } + } + + return result; + } else { + for (let k = 1; k < n; k++) { + const m = Math.floor(k / 2); + let numerator = 1; + + if (k % 2 === 1) { + for (let j = -m; j <= m + 1; j++) { + numerator *= (t + j); + } + const diffIndex = i0 - (m + 1); + if (diffIndex < 0 || diffIndex >= diffs[k].length) { + break; + } + result += (numerator / factorial(k)) * diffs[k][diffIndex]; + } else { + for (let j = - (m - 1); j <= m; j++) { + numerator *= (t + j); + } + const diffIndex = i0 - m; + if (diffIndex < 0 || diffIndex >= diffs[k].length) { + break; + } + result += (numerator / factorial(k)) * diffs[k][diffIndex]; + } + } + + return result; + } +} + +function factorial(k: number): number { + if (k < 0) { + throw new Error('Неверный аргумент для factorial'); + } + let result = 1; + for (let i = 2; i <= k; i++) { + result *= i; + } + return result; +} + +export const predefinedFunctions = { + sin: { + name: 'sin(x)', + func: Math.sin, + }, + polynomial: { + name: 'x^7 - 2x^5 + 3x^3 - 4x', + func: (x: number) => Math.pow(x, 7) - 2 * Math.pow(x, 5) + 3 * Math.pow(x, 3) - 4 * x, + }, +}; + diff --git "a/\320\2403212/zinchenko_408657/lab5/code/src/utils/validation.ts" "b/\320\2403212/zinchenko_408657/lab5/code/src/utils/validation.ts" new file mode 100644 index 0000000..366733e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/src/utils/validation.ts" @@ -0,0 +1,12 @@ +export const isValidNumber = (value: string): boolean => { + // Разрешаем пустую строку, минус в начале, десятичную точку + const regex = /^-?\d*\.?\d*$/; + return regex.test(value); +}; + +export const parseNumber = (value: string): number | null => { + if (!isValidNumber(value)) return null; + if (value === '' || value === '-') return null; + const num = Number(value); + return isNaN(num) ? null : num; +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab5/code/tsconfig.json" "b/\320\2403212/zinchenko_408657/lab5/code/tsconfig.json" new file mode 100644 index 0000000..e53d1e5 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab5/code/tsconfig.json" @@ -0,0 +1,23 @@ +{ + "compilerOptions": { + "lib": ["DOM", "ES2020"], + "jsx": "react-jsx", + "target": "ES2020", + "noEmit": true, + "skipLibCheck": true, + "useDefineForClassFields": true, + + /* modules */ + "module": "ESNext", + "isolatedModules": true, + "resolveJsonModule": true, + "moduleResolution": "bundler", + "allowImportingTsExtensions": true, + + /* type checking */ + "strict": true, + "noUnusedLocals": true, + "noUnusedParameters": true + }, + "include": ["src"] +} diff --git "a/\320\2403212/zinchenko_408657/lab5/report.pdf" "b/\320\2403212/zinchenko_408657/lab5/report.pdf" new file mode 100644 index 0000000..efe7ec1 Binary files /dev/null and "b/\320\2403212/zinchenko_408657/lab5/report.pdf" differ diff --git "a/\320\2403212/zinchenko_408657/lab6/README.md" "b/\320\2403212/zinchenko_408657/lab6/README.md" deleted file mode 100644 index 5039391..0000000 --- "a/\320\2403212/zinchenko_408657/lab6/README.md" +++ /dev/null @@ -1 +0,0 @@ -Лабораторная работа 6 diff --git "a/\320\2403212/zinchenko_408657/lab6/code/.gitignore" "b/\320\2403212/zinchenko_408657/lab6/code/.gitignore" new file mode 100644 index 0000000..38d7344 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/.gitignore" @@ -0,0 +1,13 @@ +# Local +.DS_Store +*.local +*.log* + +# Dist +node_modules +dist/ + +# IDE +.vscode/* +!.vscode/extensions.json +.idea diff --git "a/\320\2403212/zinchenko_408657/lab6/code/README.md" "b/\320\2403212/zinchenko_408657/lab6/code/README.md" new file mode 100644 index 0000000..5fc0306 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/README.md" @@ -0,0 +1,29 @@ +# Rsbuild project + +## Setup + +Install the dependencies: + +```bash +pnpm install +``` + +## Get started + +Start the dev server: + +```bash +pnpm dev +``` + +Build the app for production: + +```bash +pnpm build +``` + +Preview the production build locally: + +```bash +pnpm preview +``` diff --git "a/\320\2403212/zinchenko_408657/lab6/code/changes.md" "b/\320\2403212/zinchenko_408657/lab6/code/changes.md" new file mode 100644 index 0000000..d87c59e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/changes.md" @@ -0,0 +1,35 @@ +# Required Changes + +1. Update package.json dependencies: +```json +{ + "dependencies": { + "@chakra-ui/react": "^2.8.2", + "@emotion/react": "^11.11.3", + "@emotion/styled": "^11.11.0", + "framer-motion": "^11.0.5", + "react": "^18.2.0", + "react-dom": "^18.2.0", + "react-hook-form": "^7.56.3", + "react-icons": "^5.0.1" + } +} +``` + +2. Run: +```bash +npm install +``` + +3. Update App.tsx to include ChakraProvider: +```tsx +import { ChakraProvider } from '@chakra-ui/react' + +function App() { + return ( + + {/* Your app content */} + + ) +} +``` \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/jest.config.js" "b/\320\2403212/zinchenko_408657/lab6/code/jest.config.js" new file mode 100644 index 0000000..031eabf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/jest.config.js" @@ -0,0 +1,11 @@ +import { createDefaultPreset } from 'ts-jest' + +const tsJestTransformCfg = createDefaultPreset().transform + +/** @type {import("jest").Config} **/ +export default { + testEnvironment: "node", + transform: { + ...tsJestTransformCfg, + }, +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/package.json" "b/\320\2403212/zinchenko_408657/lab6/code/package.json" new file mode 100644 index 0000000..ed5ddec --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/package.json" @@ -0,0 +1,34 @@ +{ + "name": "rsbuild-react-ts", + "version": "1.0.0", + "private": true, + "type": "module", + "scripts": { + "build": "rsbuild build", + "dev": "rsbuild dev --open", + "preview": "rsbuild preview", + "test": "jest" + }, + "dependencies": { + "@chakra-ui/react": "^3.19.0", + "chart.js": "^4.4.9", + "dayjs": "^1.11.13", + "next-themes": "^0.4.6", + "react": "^19.1.0", + "react-chartjs-2": "^5.3.0", + "react-dom": "^19.1.0", + "react-hook-form": "^7.56.3", + "react-icons": "^5.5.0", + "uuid": "^11.1.0" + }, + "devDependencies": { + "@jest/globals": "^29.7.0", + "@rsbuild/core": "^1.3.15", + "@rsbuild/plugin-react": "^1.3.0", + "@types/react": "^19.1.2", + "@types/react-dom": "^19.1.3", + "jest": "^29.7.0", + "ts-jest": "^29.3.3", + "typescript": "^5.8.3" + } +} diff --git "a/\320\2403212/zinchenko_408657/lab6/code/pnpm-lock.yaml" "b/\320\2403212/zinchenko_408657/lab6/code/pnpm-lock.yaml" new file mode 100644 index 0000000..d2c6c38 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/pnpm-lock.yaml" @@ -0,0 +1,4044 @@ +lockfileVersion: '9.0' + +settings: + autoInstallPeers: true + excludeLinksFromLockfile: false + +importers: + + .: + dependencies: + '@chakra-ui/react': + specifier: ^3.19.0 + version: 3.19.2(@emotion/react@11.14.0(@types/react@19.1.6)(react@19.1.0))(react-dom@19.1.0(react@19.1.0))(react@19.1.0) + chart.js: + specifier: ^4.4.9 + version: 4.4.9 + dayjs: + specifier: ^1.11.13 + version: 1.11.13 + next-themes: + specifier: ^0.4.6 + version: 0.4.6(react-dom@19.1.0(react@19.1.0))(react@19.1.0) + react: + specifier: ^19.1.0 + version: 19.1.0 + react-chartjs-2: + specifier: ^5.3.0 + version: 5.3.0(chart.js@4.4.9)(react@19.1.0) + react-dom: + specifier: ^19.1.0 + version: 19.1.0(react@19.1.0) + react-hook-form: + specifier: ^7.56.3 + version: 7.57.0(react@19.1.0) + react-icons: + specifier: ^5.5.0 + version: 5.5.0(react@19.1.0) + uuid: + specifier: ^11.1.0 + version: 11.1.0 + devDependencies: + '@jest/globals': + 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undici-types@6.21.0: {} + + update-browserslist-db@1.1.3(browserslist@4.25.0): + dependencies: + browserslist: 4.25.0 + escalade: 3.2.0 + picocolors: 1.1.1 + + uqr@0.1.2: {} + + uuid@11.1.0: {} + + v8-to-istanbul@9.3.0: + dependencies: + '@jridgewell/trace-mapping': 0.3.25 + '@types/istanbul-lib-coverage': 2.0.6 + convert-source-map: 2.0.0 + + walker@1.0.8: + dependencies: + makeerror: 1.0.12 + + which@2.0.2: + dependencies: + isexe: 2.0.0 + + wrap-ansi@7.0.0: + dependencies: + ansi-styles: 4.3.0 + string-width: 4.2.3 + strip-ansi: 6.0.1 + + wrappy@1.0.2: {} + + write-file-atomic@4.0.2: + dependencies: + imurmurhash: 0.1.4 + signal-exit: 3.0.7 + + y18n@5.0.8: {} + + yallist@3.1.1: {} + + yaml@1.10.2: {} + + yargs-parser@21.1.1: {} + + yargs@17.7.2: + dependencies: + cliui: 8.0.1 + escalade: 3.2.0 + get-caller-file: 2.0.5 + require-directory: 2.1.1 + string-width: 4.2.3 + y18n: 5.0.8 + yargs-parser: 21.1.1 + + yocto-queue@0.1.0: {} diff --git "a/\320\2403212/zinchenko_408657/lab6/code/rsbuild.config.ts" "b/\320\2403212/zinchenko_408657/lab6/code/rsbuild.config.ts" new file mode 100644 index 0000000..e19125a --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/rsbuild.config.ts" @@ -0,0 +1,9 @@ +import { defineConfig } from '@rsbuild/core'; +import { pluginReact } from '@rsbuild/plugin-react'; + +export default defineConfig({ + plugins: [pluginReact()], + html: { + title: 'Лаб. 6' + } +}); diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/App.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/App.tsx" new file mode 100644 index 0000000..6383114 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/App.tsx" @@ -0,0 +1,187 @@ +import { + Box, + Card, + Heading, + HStack, + Stack, + VStack, + Text, + Checkbox, + ChakraProvider, + defaultSystem, + Button, +} from "@chakra-ui/react"; +import { useState } from "react"; +import Chart from "./components/chart"; +import { ODESelector } from "./components/ODESelector"; +import { ResultsTable } from "./components/ResultsTable"; +import { ODEProblem, eulerMethod, improvedEulerMethod, milneMethod, getExactSolution, predefinedODEs, Point } from "./math/ode"; + +const App = () => { + const [selectedODE, setSelectedODE] = useState(Object.keys(predefinedODEs)[0]); + const [odePoints, setODEPoints] = useState<{ + exact: Point[]; + euler: Point[]; + improvedEuler: Point[]; + milne: Point[]; + }>({ + exact: [], + euler: [], + improvedEuler: [], + milne: [], + }); + + const [visibility, setVisibility] = useState({ + exact: true, + euler: true, + improvedEuler: true, + milne: true, + }); + + const handleODECalculate = (method: 'euler' | 'improvedEuler' | 'milne', problem: ODEProblem) => { + let points: Point[] = []; + + if (odePoints.exact.length === 0 && predefinedODEs[selectedODE].hasExactSolution) { + const exactPoints = getExactSolution( + predefinedODEs[selectedODE].exactSolution!, + problem.x0, + problem.y0, + problem.xEnd, + 200 + ); + setODEPoints(prev => ({ ...prev, exact: exactPoints })); + } + + switch (method) { + case 'euler': + points = eulerMethod(problem); + setODEPoints(prev => ({ ...prev, euler: points })); + break; + case 'improvedEuler': + points = improvedEulerMethod(problem); + setODEPoints(prev => ({ ...prev, improvedEuler: points })); + break; + case 'milne': + points = milneMethod(problem); + setODEPoints(prev => ({ ...prev, milne: points })); + break; + } + }; + + const clearGraphs = () => { + setODEPoints({ + exact: [], + euler: [], + improvedEuler: [], + milne: [], + }); + }; + + const handleODEChange = (newODE: string) => { + setSelectedODE(newODE); + clearGraphs(); + }; + + const toggleVisibility = (key: keyof typeof visibility) => { + setVisibility(prev => ({ + ...prev, + [key]: !prev[key] + })); + }; + + return ( + + + + + + Решение ОДУ + + + + + + + + + + + Отображение графиков + + {predefinedODEs[selectedODE].hasExactSolution && ( + + Точное решение + + toggleVisibility('exact')} + /> + + + )} + + Метод Эйлера + + toggleVisibility('euler')} + /> + + + + Улучшенный метод Эйлера + + toggleVisibility('improvedEuler')} + /> + + + + Метод Милна + + toggleVisibility('milne')} + /> + + + + + + + + + + + + + + ); +}; + +export default App; diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/ODESelector.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ODESelector.tsx" new file mode 100644 index 0000000..9d3fbab --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ODESelector.tsx" @@ -0,0 +1,148 @@ +import { + Box, + Button, + HStack, + Stack, + Text, + VStack, +} from "@chakra-ui/react"; +import { useState, ChangeEvent } from "react"; +import { ODEProblem, predefinedODEs } from "../math/ode"; + +interface ODESelectorProps { + onCalculate: (method: 'euler' | 'improvedEuler' | 'milne', problem: ODEProblem) => void; + onClear: () => void; + onODEChange: (newODE: string) => void; + selectedODE: string; +} + +export const ODESelector = ({ onCalculate, onODEChange, selectedODE }: ODESelectorProps) => { + const [x0, setX0] = useState(0); + const [y0, setY0] = useState(1); + const [xEnd, setXEnd] = useState(2); + const [h, setH] = useState(0.1); + const [epsilon, setEpsilon] = useState(0.01); + + const handleCalculate = (method: 'euler' | 'improvedEuler' | 'milne') => { + const problem: ODEProblem = { + f: predefinedODEs[selectedODE].f, + x0, + y0, + xEnd, + h, + epsilon, + }; + onCalculate(method, problem); + }; + + const handleODEChange = (e: ChangeEvent) => { + onODEChange(e.target.value); + }; + + return ( + + + Выберите ОДУ + + + + + + x₀ + ) => setX0(Number(e.target.value))} + step={0.1} + style={{ width: '100%', padding: '0.5rem' }} + /> + + + + y₀ + ) => setY0(Number(e.target.value))} + step={0.1} + style={{ width: '100%', padding: '0.5rem' }} + /> + + + + + Конец интервала + ) => setXEnd(Number(e.target.value))} + step={0.1} + min={x0} + style={{ width: '100%', padding: '0.5rem' }} + /> + + + + + Шаг h + ) => setH(Number(e.target.value))} + step={0.01} + min={0.0001} + max={1} + style={{ width: '100%', padding: '0.5rem' }} + /> + + + + Погрешность ε + ) => setEpsilon(Number(e.target.value))} + step={0.0001} + min={0.0001} + max={0.1} + style={{ width: '100%', padding: '0.5rem' }} + /> + + + + + + + + + + ); +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/ResultsTable.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ResultsTable.tsx" new file mode 100644 index 0000000..1ae70ce --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ResultsTable.tsx" @@ -0,0 +1,74 @@ +import { + Table, + TableCaption, + Box, + Text +} from "@chakra-ui/react"; +import { Point } from "chart.js"; + +interface ResultsTableProps { + exactPoints: Point[]; + eulerPoints: Point[]; + improvedEulerPoints: Point[]; + milnePoints: Point[]; + hasExactSolution: boolean; +} + +export const ResultsTable = ({ + exactPoints, + eulerPoints, + improvedEulerPoints, + milnePoints, + hasExactSolution +}: ResultsTableProps) => { + const allX = new Set([ + ...(hasExactSolution ? exactPoints.map(p => p.x) : []), + ...eulerPoints.map(p => p.x), + ...improvedEulerPoints.map(p => p.x), + ...milnePoints.map(p => p.x) + ]); + const sortedX = Array.from(allX).sort((a, b) => a - b); + + const findY = (points: Point[], x: number): string => { + const point = points.find(p => Math.abs(p.x - x) < 1e-10); + return point ? point.y.toFixed(6) : "—"; + }; + + if (sortedX.length === 0) { + return ( + + Нет данных для отображения + + ); + } + + return ( + + + Таблица результатов + + + + + x + {hasExactSolution && Точное решение} + Метод Эйлера + Улучшенный метод Эйлера + Метод Милна + + + + {sortedX.map((x) => ( + + {x.toFixed(6)} + {hasExactSolution && {findY(exactPoints, x)}} + {findY(eulerPoints, x)} + {findY(improvedEulerPoints, x)} + {findY(milnePoints, x)} + + ))} + + + + ); +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/chart.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/chart.tsx" new file mode 100644 index 0000000..24cee7f --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/chart.tsx" @@ -0,0 +1,117 @@ +import { Box } from "@chakra-ui/react"; +import { + Chart as ChartJS, + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend, +} from 'chart.js'; +import { Line } from 'react-chartjs-2'; +import { Point } from "../math/ode"; + +ChartJS.register( + CategoryScale, + LinearScale, + PointElement, + LineElement, + Title, + Tooltip, + Legend +); + +type Visibility = { + exact: boolean; + euler: boolean; + improvedEuler: boolean; + milne: boolean; +}; + +interface ChartProps { + exactPoints: Point[]; + eulerPoints: Point[]; + improvedEulerPoints: Point[]; + milnePoints: Point[]; + visibility: Visibility; + hasExactSolution: boolean; +} + +const Chart: React.FC = ({ + exactPoints, + eulerPoints, + improvedEulerPoints, + milnePoints, + visibility, + hasExactSolution, +}) => { + const datasets = [ + ...(hasExactSolution ? [{ + label: 'Точное решение', + data: exactPoints.map(p => ({ x: p.x, y: p.y })), + borderColor: 'rgb(0, 0, 0)', + backgroundColor: 'rgba(0, 0, 0, 0.5)', + borderWidth: 2, + hidden: !visibility.exact, + pointRadius: 0, + pointHoverRadius: 0, + tension: 0.4, + }] : []), + { + label: 'Метод Эйлера', + data: eulerPoints.map(p => ({ x: p.x, y: p.y })), + borderColor: 'rgb(255, 99, 132)', + backgroundColor: 'rgba(255, 99, 132, 0.5)', + hidden: !visibility.euler, + }, + { + label: 'Улучшенный метод Эйлера', + data: improvedEulerPoints.map(p => ({ x: p.x, y: p.y })), + borderColor: 'rgb(53, 162, 235)', + backgroundColor: 'rgba(53, 162, 235, 0.5)', + hidden: !visibility.improvedEuler, + }, + { + label: 'Метод Милна', + data: milnePoints.map(p => ({ x: p.x, y: p.y })), + borderColor: 'rgb(75, 192, 192)', + backgroundColor: 'rgba(75, 192, 192, 0.5)', + hidden: !visibility.milne, + }, + ]; + + const options = { + responsive: true, + interaction: { + mode: 'index' as const, + intersect: false, + }, + scales: { + x: { + type: 'linear' as const, + display: true, + title: { + display: true, + text: 'x' + } + }, + y: { + type: 'linear' as const, + display: true, + title: { + display: true, + text: 'y' + } + } + }, + }; + + return ( + + + + ); +}; + +export default Chart; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/color-mode.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/color-mode.tsx" new file mode 100644 index 0000000..f93feab --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/color-mode.tsx" @@ -0,0 +1,107 @@ +"use client" + +import type { IconButtonProps, SpanProps } from "@chakra-ui/react" +import { ClientOnly, IconButton, Skeleton, Span } from "@chakra-ui/react" +import { ThemeProvider, useTheme } from "next-themes" +import type { ThemeProviderProps } from "next-themes" +import * as React from "react" +import { LuMoon, LuSun } from "react-icons/lu" + +export interface ColorModeProviderProps extends ThemeProviderProps {} + +export function ColorModeProvider(props: ColorModeProviderProps) { + return ( + + ) +} + +export type ColorMode = "light" | "dark" + +export interface UseColorModeReturn { + colorMode: ColorMode + setColorMode: (colorMode: ColorMode) => void + toggleColorMode: () => void +} + +export function useColorMode(): UseColorModeReturn { + const { resolvedTheme, setTheme } = useTheme() + const toggleColorMode = () => { + setTheme(resolvedTheme === "dark" ? "light" : "dark") + } + return { + colorMode: resolvedTheme as ColorMode, + setColorMode: setTheme, + toggleColorMode, + } +} + +export function useColorModeValue(light: T, dark: T) { + const { colorMode } = useColorMode() + return colorMode === "dark" ? dark : light +} + +export function ColorModeIcon() { + const { colorMode } = useColorMode() + return colorMode === "dark" ? : +} + +interface ColorModeButtonProps extends Omit {} + +export const ColorModeButton = React.forwardRef< + HTMLButtonElement, + ColorModeButtonProps +>(function ColorModeButton(props, ref) { + const { toggleColorMode } = useColorMode() + return ( + }> + + + + + ) +}) + +export const LightMode = React.forwardRef( + function LightMode(props, ref) { + return ( + + ) + }, +) + +export const DarkMode = React.forwardRef( + function DarkMode(props, ref) { + return ( + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/provider.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/provider.tsx" new file mode 100644 index 0000000..fd0331b --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/provider.tsx" @@ -0,0 +1,15 @@ +"use client" + +import { ChakraProvider, defaultSystem } from "@chakra-ui/react" +import { + ColorModeProvider, + type ColorModeProviderProps, +} from "./color-mode" + +export function Provider(props: ColorModeProviderProps) { + return ( + + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/toaster.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/toaster.tsx" new file mode 100644 index 0000000..df6c2c3 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/toaster.tsx" @@ -0,0 +1,43 @@ +"use client" + +import { + Toaster as ChakraToaster, + Portal, + Spinner, + Stack, + Toast, + createToaster, +} from "@chakra-ui/react" + +export const toaster = createToaster({ + placement: "bottom-end", + pauseOnPageIdle: true, +}) + +export const Toaster = () => { + return ( + + + {(toast) => ( + + {toast.type === "loading" ? ( + + ) : ( + + )} + + {toast.title && {toast.title}} + {toast.description && ( + {toast.description} + )} + + {toast.action && ( + {toast.action.label} + )} + {toast.meta?.closable && } + + )} + + + ) +} diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/tooltip.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/tooltip.tsx" new file mode 100644 index 0000000..43a8a6c --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/components/ui/tooltip.tsx" @@ -0,0 +1,46 @@ +import { Tooltip as ChakraTooltip, Portal } from "@chakra-ui/react" +import * as React from "react" + +export interface TooltipProps extends ChakraTooltip.RootProps { + showArrow?: boolean + portalled?: boolean + portalRef?: React.RefObject + content: React.ReactNode + contentProps?: ChakraTooltip.ContentProps + disabled?: boolean +} + +export const Tooltip = React.forwardRef( + function Tooltip(props, ref) { + const { + showArrow, + children, + disabled, + portalled = true, + content, + contentProps, + portalRef, + ...rest + } = props + + if (disabled) return children + + return ( + + {children} + + + + {showArrow && ( + + + + )} + {content} + + + + + ) + }, +) diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/env.d.ts" "b/\320\2403212/zinchenko_408657/lab6/code/src/env.d.ts" new file mode 100644 index 0000000..b0ac762 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/env.d.ts" @@ -0,0 +1 @@ +/// diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/index.tsx" "b/\320\2403212/zinchenko_408657/lab6/code/src/index.tsx" new file mode 100644 index 0000000..55f29bf --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/index.tsx" @@ -0,0 +1,13 @@ +import React from 'react'; +import ReactDOM from 'react-dom/client'; +import App from './App'; + +const rootEl = document.getElementById('root'); +if (rootEl) { + const root = ReactDOM.createRoot(rootEl); + root.render( + + + , + ); +} diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/math/ode.ts" "b/\320\2403212/zinchenko_408657/lab6/code/src/math/ode.ts" new file mode 100644 index 0000000..1990cdc --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/math/ode.ts" @@ -0,0 +1,224 @@ +export interface Point { + x: number; + y: number; +} + +export type ODEFunction = (x: number, y: number) => number; +export type ExactSolutionFunction = (x: number, C: number) => number; + +export interface ODEProblem { + f: ODEFunction; + x0: number; + y0: number; + xEnd: number; + h: number; + epsilon: number; +} + +export const getExactSolution = ( + exactSolution: ExactSolutionFunction, + x0: number, + y0: number, + xEnd: number, + pointsCount: number +): Point[] => { + const C = findIntegrationConstant(exactSolution, x0, y0); + + const points: Point[] = []; + const step = (xEnd - x0) / (pointsCount - 1); + + for (let i = 0; i < pointsCount; i++) { + const x = x0 + i * step; + points.push({ + x, + y: exactSolution(x, C) + }); + } + + return points; +}; + +const findIntegrationConstant = ( + exactSolution: ExactSolutionFunction, + x0: number, + y0: number +): number => { + switch (exactSolution) { + // y' = x + y: y = -x - 1 + Ce^x + case predefinedODEs.linear.exactSolution: + return (y0 + x0 + 1) / Math.exp(x0); + + // y' = y: y = Ce^x + case predefinedODEs.exponential.exactSolution: + return y0 / Math.exp(x0); + + // y' = x/y: y = ±√(x² + C) + case predefinedODEs.separable.exactSolution: + return y0 * y0 - x0 * x0; + + // y' = 3 + 5x - (0.5y)/(x+2): y = 2x^2 + 10/3x -4/3 + C/sqrt(x+2) + case predefinedODEs.complex.exactSolution: + return (y0 - (2 * x0 * x0 + (10/3) * x0 - 4/3)) * Math.sqrt(x0 + 2); + + default: + return 0; + } +} + +export const eulerMethod = ({ f, x0, y0, xEnd, h, epsilon }: ODEProblem): Point[] => { + const points: Point[] = [{ x: x0, y: y0 }]; + let x = x0; + let y = y0; + let currentH = h; + + while (x < xEnd) { + const dy = f(x, y); + const xNext = Math.min(x + currentH, xEnd); + const yNext = y + currentH * dy; + + const halfH = currentH / 2; + let yHalf = y; + for (let i = 0; i < 2; i++) { + const xHalf = x + i * halfH; + const dyHalf = f(xHalf, yHalf); + yHalf += halfH * dyHalf; + } + + const error = Math.abs(yNext - yHalf) / (Math.pow(2, 1) - 1); + + if (error > epsilon && currentH > 0.0001) { + currentH = currentH / 2; + continue; + } + + x = xNext; + y = yNext; + points.push({ x, y }); + } + + return points; +}; + +export const improvedEulerMethod = ({ f, x0, y0, xEnd, h, epsilon }: ODEProblem): Point[] => { + const points: Point[] = [{ x: x0, y: y0 }]; + let x = x0; + let y = y0; + let currentH = h; + + while (x < xEnd) { + const k1 = f(x, y); + const xNext = Math.min(x + currentH, xEnd); + const yPred = y + currentH * k1; + const k2 = f(xNext, yPred); + const yNext = y + (currentH / 2) * (k1 + k2); + + const halfH = currentH / 2; + let yHalf = y; + for (let i = 0; i < 2; i++) { + const xHalf = x + i * halfH; + const k1Half = f(xHalf, yHalf); + const yPredHalf = yHalf + halfH * k1Half; + const k2Half = f(xHalf + halfH, yPredHalf); + yHalf += (halfH / 2) * (k1Half + k2Half); + } + + const error = Math.abs(yNext - yHalf) / (Math.pow(2, 2) - 1); + + if (error > epsilon && currentH > 0.0001) { + currentH = currentH / 2; + continue; + } + + x = xNext; + y = yNext; + points.push({ x, y }); + } + + return points; +}; + +export const milneMethod = ({ f, x0, y0, xEnd, h, epsilon }: ODEProblem): Point[] => { + const calculateInitialPoints = (startX: number, startY: number, step: number): Point[] => { + const initialPoints = [{ x: startX, y: startY }]; + for (let i = 0; i < 3; i++) { + const x = initialPoints[i].x; + const y = initialPoints[i].y; + + const k1 = f(x, y); + const k2 = f(x + step/2, y + step*k1/2); + const k3 = f(x + step/2, y + step*k2/2); + const k4 = f(x + step, y + step*k3); + const yNext = y + (step/6) * (k1 + 2*k2 + 2*k3 + k4); + + initialPoints.push({ x: x + step, y: yNext }); + } + return initialPoints; + }; + + let currentH = h; + let points = calculateInitialPoints(x0, y0, currentH); + + let x = x0 + 3*currentH; + + while (x < xEnd) { + const xNext = Math.min(x + currentH, xEnd); + + const yPred = points[points.length-4].y + (4*currentH/3) * ( + 2*f(points[points.length-3].x, points[points.length-3].y) - + f(points[points.length-2].x, points[points.length-2].y) + + 2*f(points[points.length-1].x, points[points.length-1].y) + ); + + const yCorr = points[points.length-2].y + (currentH/3) * ( + f(points[points.length-2].x, points[points.length-2].y) + + 4*f(points[points.length-1].x, points[points.length-1].y) + + f(xNext, yPred) + ); + + const error = Math.abs(yCorr - yPred); + + if (error > epsilon && currentH > 0.0001) { + currentH = currentH / 2; + points = calculateInitialPoints(x0, y0, currentH); + x = x0 + 3*currentH; + continue; + } + + points.push({ x: xNext, y: yCorr }); + x = xNext; + } + + return points; +}; + +export const predefinedODEs: Record = { + linear: { + name: "y' = x + y", + f: (x, y) => x + y, + exactSolution: (x, C) => -x - 1 + C * Math.exp(x), + hasExactSolution: true + }, + exponential: { + name: "y' = y", + f: (x, y) => y, + exactSolution: (x, C) => C * Math.exp(x), + hasExactSolution: true + }, + separable: { + name: "y' = x/y", + f: (x, y) => x/y, + exactSolution: (x, C) => Math.sqrt(x * x + C), + hasExactSolution: true + }, + complex: { + name: "y' = 3 + 5x - (0.5y)/(x+2)", + f: (x, y) => 3 + 5 * x - (0.5 * y) / (x + 2), + exactSolution: (x, C) => 2 * x * x + (10/3) * x - 4/3 + C / Math.sqrt(x + 2), + hasExactSolution: true + } +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/src/utils/validation.ts" "b/\320\2403212/zinchenko_408657/lab6/code/src/utils/validation.ts" new file mode 100644 index 0000000..366733e --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/src/utils/validation.ts" @@ -0,0 +1,12 @@ +export const isValidNumber = (value: string): boolean => { + // Разрешаем пустую строку, минус в начале, десятичную точку + const regex = /^-?\d*\.?\d*$/; + return regex.test(value); +}; + +export const parseNumber = (value: string): number | null => { + if (!isValidNumber(value)) return null; + if (value === '' || value === '-') return null; + const num = Number(value); + return isNaN(num) ? null : num; +}; \ No newline at end of file diff --git "a/\320\2403212/zinchenko_408657/lab6/code/tsconfig.json" "b/\320\2403212/zinchenko_408657/lab6/code/tsconfig.json" new file mode 100644 index 0000000..e53d1e5 --- /dev/null +++ "b/\320\2403212/zinchenko_408657/lab6/code/tsconfig.json" @@ -0,0 +1,23 @@ +{ + "compilerOptions": { + "lib": ["DOM", "ES2020"], + "jsx": "react-jsx", + "target": "ES2020", + "noEmit": true, + "skipLibCheck": true, + "useDefineForClassFields": true, + + /* modules */ + "module": "ESNext", + "isolatedModules": true, + "resolveJsonModule": true, + "moduleResolution": "bundler", + "allowImportingTsExtensions": true, + + /* type checking */ + "strict": true, + "noUnusedLocals": true, + "noUnusedParameters": true + }, + "include": ["src"] +} diff --git "a/\320\2403212/zinchenko_408657/lab6/report.pdf" "b/\320\2403212/zinchenko_408657/lab6/report.pdf" new file mode 100644 index 0000000..5966790 Binary files /dev/null and "b/\320\2403212/zinchenko_408657/lab6/report.pdf" differ